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Finding the Third Proportional to 357,839,568 and 782,677,008

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Solution

The third proportional to 357,839,568 and 782,677,008 is: 1,711,893,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,839,568 : 782,677,008 = 782,677,008 : x
  2. Step 2: Convert to fraction form
    357,839,568/782,677,008 = 782,677,008/x
  3. Step 3: Cross multiply
    357,839,568x = 782,677,008 × 782,677,008
  4. Step 4: Simplify right side
    357,839,568x = 612,583,298,851,832,064
  5. Step 5: Solve for x
    x = 612,583,298,851,832,064/357,839,568
  6. Step 6: Final answer
    x = 1,711,893,691.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.