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Finding the Third Proportional to 3,581,497.13 and 7,730,173.13

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Solution

The third proportional to 3,581,497.13 and 7,730,173.13 is: 16,684,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581,497.13 : 7,730,173.13 = 7,730,173.13 : x
  2. Step 2: Convert to fraction form
    3,581,497.13/7,730,173.13 = 7,730,173.13/x
  3. Step 3: Cross multiply
    3,581,497.13x = 7,730,173.13 × 7,730,173.13
  4. Step 4: Simplify right side
    3,581,497.13x = 59,755,576,542,472.27
  5. Step 5: Solve for x
    x = 59,755,576,542,472.27/3,581,497.13
  6. Step 6: Final answer
    x = 16,684,524.50

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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.