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Finding the Third Proportional to 357,839,572 and 782,677,016

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Solution

The third proportional to 357,839,572 and 782,677,016 is: 1,711,893,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,839,572 : 782,677,016 = 782,677,016 : x
  2. Step 2: Convert to fraction form
    357,839,572/782,677,016 = 782,677,016/x
  3. Step 3: Cross multiply
    357,839,572x = 782,677,016 × 782,677,016
  4. Step 4: Simplify right side
    357,839,572x = 612,583,311,374,664,192
  5. Step 5: Solve for x
    x = 612,583,311,374,664,192/357,839,572
  6. Step 6: Final answer
    x = 1,711,893,706.87

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Why These Related Problems?

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