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Finding the Third Proportional to 516,820,591.13 and 794,390,545.69

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Solution

The third proportional to 516,820,591.13 and 794,390,545.69 is: 1,221,035,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,820,591.13 : 794,390,545.69 = 794,390,545.69 : x
  2. Step 2: Convert to fraction form
    516,820,591.13/794,390,545.69 = 794,390,545.69/x
  3. Step 3: Cross multiply
    516,820,591.13x = 794,390,545.69 × 794,390,545.69
  4. Step 4: Simplify right side
    516,820,591.13x = 631,056,339,077,683,968
  5. Step 5: Solve for x
    x = 631,056,339,077,683,968/516,820,591.13
  6. Step 6: Final answer
    x = 1,221,035,597.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.