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Finding the Third Proportional to 31,772,900 and 47,616,663

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Solution

The third proportional to 31,772,900 and 47,616,663 is: 71,361,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772,900 : 47,616,663 = 47,616,663 : x
  2. Step 2: Convert to fraction form
    31,772,900/47,616,663 = 47,616,663/x
  3. Step 3: Cross multiply
    31,772,900x = 47,616,663 × 47,616,663
  4. Step 4: Simplify right side
    31,772,900x = 2,267,346,595,255,569
  5. Step 5: Solve for x
    x = 2,267,346,595,255,569/31,772,900
  6. Step 6: Final answer
    x = 71,361,021.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.