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Finding the Third Proportional to 14,675,498 and 22,234,863

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Solution

The third proportional to 14,675,498 and 22,234,863 is: 33,688,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675,498 : 22,234,863 = 22,234,863 : x
  2. Step 2: Convert to fraction form
    14,675,498/22,234,863 = 22,234,863/x
  3. Step 3: Cross multiply
    14,675,498x = 22,234,863 × 22,234,863
  4. Step 4: Simplify right side
    14,675,498x = 494,389,132,628,769
  5. Step 5: Solve for x
    x = 494,389,132,628,769/14,675,498
  6. Step 6: Final answer
    x = 33,688,065.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.