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Finding the Third Proportional to 16,438,924 and 26,180,466

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Solution

The third proportional to 16,438,924 and 26,180,466 is: 41,694,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438,924 : 26,180,466 = 26,180,466 : x
  2. Step 2: Convert to fraction form
    16,438,924/26,180,466 = 26,180,466/x
  3. Step 3: Cross multiply
    16,438,924x = 26,180,466 × 26,180,466
  4. Step 4: Simplify right side
    16,438,924x = 685,416,799,977,156
  5. Step 5: Solve for x
    x = 685,416,799,977,156/16,438,924
  6. Step 6: Final answer
    x = 41,694,748.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.