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Finding the Third Proportional to 7,063,686 and 14,766,948

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Solution

The third proportional to 7,063,686 and 14,766,948 is: 30,870,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063,686 : 14,766,948 = 14,766,948 : x
  2. Step 2: Convert to fraction form
    7,063,686/14,766,948 = 14,766,948/x
  3. Step 3: Cross multiply
    7,063,686x = 14,766,948 × 14,766,948
  4. Step 4: Simplify right side
    7,063,686x = 218,062,753,234,704
  5. Step 5: Solve for x
    x = 218,062,753,234,704/7,063,686
  6. Step 6: Final answer
    x = 30,870,957.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.