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Finding the Third Proportional to 7,580,374 and 16,488,911

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Solution

The third proportional to 7,580,374 and 16,488,911 is: 35,866,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,374 : 16,488,911 = 16,488,911 : x
  2. Step 2: Convert to fraction form
    7,580,374/16,488,911 = 16,488,911/x
  3. Step 3: Cross multiply
    7,580,374x = 16,488,911 × 16,488,911
  4. Step 4: Simplify right side
    7,580,374x = 271,884,185,965,921
  5. Step 5: Solve for x
    x = 271,884,185,965,921/7,580,374
  6. Step 6: Final answer
    x = 35,866,856.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.