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Finding the Third Proportional to 239,670,432 and 516,364,632

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Solution

The third proportional to 239,670,432 and 516,364,632 is: 1,112,496,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,670,432 : 516,364,632 = 516,364,632 : x
  2. Step 2: Convert to fraction form
    239,670,432/516,364,632 = 516,364,632/x
  3. Step 3: Cross multiply
    239,670,432x = 516,364,632 × 516,364,632
  4. Step 4: Simplify right side
    239,670,432x = 266,632,433,180,495,424
  5. Step 5: Solve for x
    x = 266,632,433,180,495,424/239,670,432
  6. Step 6: Final answer
    x = 1,112,496,151.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.