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Finding the Third Proportional to 4,107,565 and 9,159,587

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Solution

The third proportional to 4,107,565 and 9,159,587 is: 20,425,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,565 : 9,159,587 = 9,159,587 : x
  2. Step 2: Convert to fraction form
    4,107,565/9,159,587 = 9,159,587/x
  3. Step 3: Cross multiply
    4,107,565x = 9,159,587 × 9,159,587
  4. Step 4: Simplify right side
    4,107,565x = 83,898,034,010,569
  5. Step 5: Solve for x
    x = 83,898,034,010,569/4,107,565
  6. Step 6: Final answer
    x = 20,425,248.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.