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Finding the Third Proportional to 296,138,639,472 and 451,146,732,840

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Solution

The third proportional to 296,138,639,472 and 451,146,732,840 is: 687,290,840,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,138,639,472 : 451,146,732,840 = 451,146,732,840 : x
  2. Step 2: Convert to fraction form
    296,138,639,472/451,146,732,840 = 451,146,732,840/x
  3. Step 3: Cross multiply
    296,138,639,472x = 451,146,732,840 × 451,146,732,840
  4. Step 4: Simplify right side
    296,138,639,472x = 203,533,374,552,206,326,366,208
  5. Step 5: Solve for x
    x = 203,533,374,552,206,326,366,208/296,138,639,472
  6. Step 6: Final answer
    x = 687,290,840,922.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.