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Finding the Third Proportional to 659,916,428.91 and 1,433,334,979.83

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Solution

The third proportional to 659,916,428.91 and 1,433,334,979.83 is: 3,113,195,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,916,428.91 : 1,433,334,979.83 = 1,433,334,979.83 : x
  2. Step 2: Convert to fraction form
    659,916,428.91/1,433,334,979.83 = 1,433,334,979.83/x
  3. Step 3: Cross multiply
    659,916,428.91x = 1,433,334,979.83 × 1,433,334,979.83
  4. Step 4: Simplify right side
    659,916,428.91x = 2,054,449,164,398,819,840
  5. Step 5: Solve for x
    x = 2,054,449,164,398,819,840/659,916,428.91
  6. Step 6: Final answer
    x = 3,113,195,966.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.