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Finding the Third Proportional to 3,654,054,411,700.40 and 7,838,554,526,833.60

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Solution

The third proportional to 3,654,054,411,700.40 and 7,838,554,526,833.60 is: 16,815,003,321,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654,054,411,700.40 : 7,838,554,526,833.60 = 7,838,554,526,833.60 : x
  2. Step 2: Convert to fraction form
    3,654,054,411,700.40/7,838,554,526,833.60 = 7,838,554,526,833.60/x
  3. Step 3: Cross multiply
    3,654,054,411,700.40x = 7,838,554,526,833.60 × 7,838,554,526,833.60
  4. Step 4: Simplify right side
    3,654,054,411,700.40x = 61,442,937,070,143,518,604,787,712
  5. Step 5: Solve for x
    x = 61,442,937,070,143,518,604,787,712/3,654,054,411,700.40
  6. Step 6: Final answer
    x = 16,815,003,321,625.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.