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Finding the Third Proportional to 16,948,361 and 21,761,341

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Solution

The third proportional to 16,948,361 and 21,761,341 is: 27,941,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948,361 : 21,761,341 = 21,761,341 : x
  2. Step 2: Convert to fraction form
    16,948,361/21,761,341 = 21,761,341/x
  3. Step 3: Cross multiply
    16,948,361x = 21,761,341 × 21,761,341
  4. Step 4: Simplify right side
    16,948,361x = 473,555,962,118,281
  5. Step 5: Solve for x
    x = 473,555,962,118,281/16,948,361
  6. Step 6: Final answer
    x = 27,941,106.64

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.