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Finding the Third Proportional to 9,787,566 and 21,565,788

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Solution

The third proportional to 9,787,566 and 21,565,788 is: 47,517,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,566 : 21,565,788 = 21,565,788 : x
  2. Step 2: Convert to fraction form
    9,787,566/21,565,788 = 21,565,788/x
  3. Step 3: Cross multiply
    9,787,566x = 21,565,788 × 21,565,788
  4. Step 4: Simplify right side
    9,787,566x = 465,083,212,060,944
  5. Step 5: Solve for x
    x = 465,083,212,060,944/9,787,566
  6. Step 6: Final answer
    x = 47,517,759.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.