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Finding the Third Proportional to 51,190,915 and 72,433,594

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Solution

The third proportional to 51,190,915 and 72,433,594 is: 102,491,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,190,915 : 72,433,594 = 72,433,594 : x
  2. Step 2: Convert to fraction form
    51,190,915/72,433,594 = 72,433,594/x
  3. Step 3: Cross multiply
    51,190,915x = 72,433,594 × 72,433,594
  4. Step 4: Simplify right side
    51,190,915x = 5,246,625,539,756,836
  5. Step 5: Solve for x
    x = 5,246,625,539,756,836/51,190,915
  6. Step 6: Final answer
    x = 102,491,341.28

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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.