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Finding the Third Proportional to 7,693,974 and 16,721,397

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Solution

The third proportional to 7,693,974 and 16,721,397 is: 36,340,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,974 : 16,721,397 = 16,721,397 : x
  2. Step 2: Convert to fraction form
    7,693,974/16,721,397 = 16,721,397/x
  3. Step 3: Cross multiply
    7,693,974x = 16,721,397 × 16,721,397
  4. Step 4: Simplify right side
    7,693,974x = 279,605,117,631,609
  5. Step 5: Solve for x
    x = 279,605,117,631,609/7,693,974
  6. Step 6: Final answer
    x = 36,340,793.15

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Why These Related Problems?

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