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Finding the Third Proportional to 15,581,853,083 and 31,597,289,541

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Solution

The third proportional to 15,581,853,083 and 31,597,289,541 is: 64,073,810,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581,853,083 : 31,597,289,541 = 31,597,289,541 : x
  2. Step 2: Convert to fraction form
    15,581,853,083/31,597,289,541 = 31,597,289,541/x
  3. Step 3: Cross multiply
    15,581,853,083x = 31,597,289,541 × 31,597,289,541
  4. Step 4: Simplify right side
    15,581,853,083x = 998,388,706,337,788,002,304
  5. Step 5: Solve for x
    x = 998,388,706,337,788,002,304/15,581,853,083
  6. Step 6: Final answer
    x = 64,073,810,798.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.