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Finding the Third Proportional to 8,653,564 and 18,914,574

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Solution

The third proportional to 8,653,564 and 18,914,574 is: 41,342,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653,564 : 18,914,574 = 18,914,574 : x
  2. Step 2: Convert to fraction form
    8,653,564/18,914,574 = 18,914,574/x
  3. Step 3: Cross multiply
    8,653,564x = 18,914,574 × 18,914,574
  4. Step 4: Simplify right side
    8,653,564x = 357,761,109,601,476
  5. Step 5: Solve for x
    x = 357,761,109,601,476/8,653,564
  6. Step 6: Final answer
    x = 41,342,631.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.