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Finding the Third Proportional to 357,863,779 and 782,715,206

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Solution

The third proportional to 357,863,779 and 782,715,206 is: 1,711,944,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863,779 : 782,715,206 = 782,715,206 : x
  2. Step 2: Convert to fraction form
    357,863,779/782,715,206 = 782,715,206/x
  3. Step 3: Cross multiply
    357,863,779x = 782,715,206 × 782,715,206
  4. Step 4: Simplify right side
    357,863,779x = 612,643,093,703,622,400
  5. Step 5: Solve for x
    x = 612,643,093,703,622,400/357,863,779
  6. Step 6: Final answer
    x = 1,711,944,962.45

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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.