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Finding the Third Proportional to 4,107,564 and 9,159,585

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Solution

The third proportional to 4,107,564 and 9,159,585 is: 20,425,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,564 : 9,159,585 = 9,159,585 : x
  2. Step 2: Convert to fraction form
    4,107,564/9,159,585 = 9,159,585/x
  3. Step 3: Cross multiply
    4,107,564x = 9,159,585 × 9,159,585
  4. Step 4: Simplify right side
    4,107,564x = 83,897,997,372,225
  5. Step 5: Solve for x
    x = 83,897,997,372,225/4,107,564
  6. Step 6: Final answer
    x = 20,425,244.10

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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.