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Finding the Third Proportional to 31,883,900 and 44,739,424

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Solution

The third proportional to 31,883,900 and 44,739,424 is: 62,778,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883,900 : 44,739,424 = 44,739,424 : x
  2. Step 2: Convert to fraction form
    31,883,900/44,739,424 = 44,739,424/x
  3. Step 3: Cross multiply
    31,883,900x = 44,739,424 × 44,739,424
  4. Step 4: Simplify right side
    31,883,900x = 2,001,616,059,851,776
  5. Step 5: Solve for x
    x = 2,001,616,059,851,776/31,883,900
  6. Step 6: Final answer
    x = 62,778,269.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.