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Finding the Third Proportional to 16,370,798 and 27,283,020

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Solution

The third proportional to 16,370,798 and 27,283,020 is: 45,468,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370,798 : 27,283,020 = 27,283,020 : x
  2. Step 2: Convert to fraction form
    16,370,798/27,283,020 = 27,283,020/x
  3. Step 3: Cross multiply
    16,370,798x = 27,283,020 × 27,283,020
  4. Step 4: Simplify right side
    16,370,798x = 744,363,180,320,400
  5. Step 5: Solve for x
    x = 744,363,180,320,400/16,370,798
  6. Step 6: Final answer
    x = 45,468,961.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.