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Finding the Third Proportional to 296,138,639,316 and 451,146,732,606

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Solution

The third proportional to 296,138,639,316 and 451,146,732,606 is: 687,290,840,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,138,639,316 : 451,146,732,606 = 451,146,732,606 : x
  2. Step 2: Convert to fraction form
    296,138,639,316/451,146,732,606 = 451,146,732,606/x
  3. Step 3: Cross multiply
    296,138,639,316x = 451,146,732,606 × 451,146,732,606
  4. Step 4: Simplify right side
    296,138,639,316x = 203,533,374,341,069,659,963,392
  5. Step 5: Solve for x
    x = 203,533,374,341,069,659,963,392/296,138,639,316
  6. Step 6: Final answer
    x = 687,290,840,571.08

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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.