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Finding the Third Proportional to 31,344,724 and 47,490,329

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Solution

The third proportional to 31,344,724 and 47,490,329 is: 71,952,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344,724 : 47,490,329 = 47,490,329 : x
  2. Step 2: Convert to fraction form
    31,344,724/47,490,329 = 47,490,329/x
  3. Step 3: Cross multiply
    31,344,724x = 47,490,329 × 47,490,329
  4. Step 4: Simplify right side
    31,344,724x = 2,255,331,348,528,241
  5. Step 5: Solve for x
    x = 2,255,331,348,528,241/31,344,724
  6. Step 6: Final answer
    x = 71,952,503.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.