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Finding the Third Proportional to 9,461,374 and 14,822,122

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Solution

The third proportional to 9,461,374 and 14,822,122 is: 23,220,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461,374 : 14,822,122 = 14,822,122 : x
  2. Step 2: Convert to fraction form
    9,461,374/14,822,122 = 14,822,122/x
  3. Step 3: Cross multiply
    9,461,374x = 14,822,122 × 14,822,122
  4. Step 4: Simplify right side
    9,461,374x = 219,695,300,582,884
  5. Step 5: Solve for x
    x = 219,695,300,582,884/9,461,374
  6. Step 6: Final answer
    x = 23,220,232.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.