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Finding the Third Proportional to 7,807,375 and 16,917,829

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Solution

The third proportional to 7,807,375 and 16,917,829 is: 36,659,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807,375 : 16,917,829 = 16,917,829 : x
  2. Step 2: Convert to fraction form
    7,807,375/16,917,829 = 16,917,829/x
  3. Step 3: Cross multiply
    7,807,375x = 16,917,829 × 16,917,829
  4. Step 4: Simplify right side
    7,807,375x = 286,212,938,073,241
  5. Step 5: Solve for x
    x = 286,212,938,073,241/7,807,375
  6. Step 6: Final answer
    x = 36,659,304.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.