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Finding the Third Proportional to 52,845,732 and 74,416,374

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Solution

The third proportional to 52,845,732 and 74,416,374 is: 104,791,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,845,732 : 74,416,374 = 74,416,374 : x
  2. Step 2: Convert to fraction form
    52,845,732/74,416,374 = 74,416,374/x
  3. Step 3: Cross multiply
    52,845,732x = 74,416,374 × 74,416,374
  4. Step 4: Simplify right side
    52,845,732x = 5,537,796,719,307,876
  5. Step 5: Solve for x
    x = 5,537,796,719,307,876/52,845,732
  6. Step 6: Final answer
    x = 104,791,749.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.