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Finding the Third Proportional to 14,770,412 and 21,676,368

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Solution

The third proportional to 14,770,412 and 21,676,368 is: 31,811,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770,412 : 21,676,368 = 21,676,368 : x
  2. Step 2: Convert to fraction form
    14,770,412/21,676,368 = 21,676,368/x
  3. Step 3: Cross multiply
    14,770,412x = 21,676,368 × 21,676,368
  4. Step 4: Simplify right side
    14,770,412x = 469,864,929,671,424
  5. Step 5: Solve for x
    x = 469,864,929,671,424/14,770,412
  6. Step 6: Final answer
    x = 31,811,227.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.