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Finding the Third Proportional to 11,539,520,473.50 and 17,241,351,534

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Solution

The third proportional to 11,539,520,473.50 and 17,241,351,534 is: 25,760,533,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539,520,473.50 : 17,241,351,534 = 17,241,351,534 : x
  2. Step 2: Convert to fraction form
    11,539,520,473.50/17,241,351,534 = 17,241,351,534/x
  3. Step 3: Cross multiply
    11,539,520,473.50x = 17,241,351,534 × 17,241,351,534
  4. Step 4: Simplify right side
    11,539,520,473.50x = 297,264,202,718,964,154,368
  5. Step 5: Solve for x
    x = 297,264,202,718,964,154,368/11,539,520,473.50
  6. Step 6: Final answer
    x = 25,760,533,412.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.