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Finding the Third Proportional to 8,369,359,537.64 and 18,070,102,296.42

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Solution

The third proportional to 8,369,359,537.64 and 18,070,102,296.42 is: 39,014,765,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,359,537.64 : 18,070,102,296.42 = 18,070,102,296.42 : x
  2. Step 2: Convert to fraction form
    8,369,359,537.64/18,070,102,296.42 = 18,070,102,296.42/x
  3. Step 3: Cross multiply
    8,369,359,537.64x = 18,070,102,296.42 × 18,070,102,296.42
  4. Step 4: Simplify right side
    8,369,359,537.64x = 326,528,597,003,155,668,992
  5. Step 5: Solve for x
    x = 326,528,597,003,155,668,992/8,369,359,537.64
  6. Step 6: Final answer
    x = 39,014,765,172.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.