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Finding the Third Proportional to 400,024,632 and 601,102,034

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Solution

The third proportional to 400,024,632 and 601,102,034 is: 903,253,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,024,632 : 601,102,034 = 601,102,034 : x
  2. Step 2: Convert to fraction form
    400,024,632/601,102,034 = 601,102,034/x
  3. Step 3: Cross multiply
    400,024,632x = 601,102,034 × 601,102,034
  4. Step 4: Simplify right side
    400,024,632x = 361,323,655,278,937,152
  5. Step 5: Solve for x
    x = 361,323,655,278,937,152/400,024,632
  6. Step 6: Final answer
    x = 903,253,515.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.