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Finding the Third Proportional to 467,441,024 and 729,459,552

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Solution

The third proportional to 467,441,024 and 729,459,552 is: 1,138,349,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,441,024 : 729,459,552 = 729,459,552 : x
  2. Step 2: Convert to fraction form
    467,441,024/729,459,552 = 729,459,552/x
  3. Step 3: Cross multiply
    467,441,024x = 729,459,552 × 729,459,552
  4. Step 4: Simplify right side
    467,441,024x = 532,111,238,004,040,704
  5. Step 5: Solve for x
    x = 532,111,238,004,040,704/467,441,024
  6. Step 6: Final answer
    x = 1,138,349,461.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.