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Finding the Third Proportional to 9,869,742 and 14,722,455

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Solution

The third proportional to 9,869,742 and 14,722,455 is: 21,961,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,742 : 14,722,455 = 14,722,455 : x
  2. Step 2: Convert to fraction form
    9,869,742/14,722,455 = 14,722,455/x
  3. Step 3: Cross multiply
    9,869,742x = 14,722,455 × 14,722,455
  4. Step 4: Simplify right side
    9,869,742x = 216,750,681,227,025
  5. Step 5: Solve for x
    x = 216,750,681,227,025/9,869,742
  6. Step 6: Final answer
    x = 21,961,129.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.