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Finding the Third Proportional to 14,624,498 and 21,371,691

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Solution

The third proportional to 14,624,498 and 21,371,691 is: 31,231,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624,498 : 21,371,691 = 21,371,691 : x
  2. Step 2: Convert to fraction form
    14,624,498/21,371,691 = 21,371,691/x
  3. Step 3: Cross multiply
    14,624,498x = 21,371,691 × 21,371,691
  4. Step 4: Simplify right side
    14,624,498x = 456,749,176,199,481
  5. Step 5: Solve for x
    x = 456,749,176,199,481/14,624,498
  6. Step 6: Final answer
    x = 31,231,784.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.