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Finding the Third Proportional to 31,550,962 and 48,466,140

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Solution

The third proportional to 31,550,962 and 48,466,140 is: 74,449,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550,962 : 48,466,140 = 48,466,140 : x
  2. Step 2: Convert to fraction form
    31,550,962/48,466,140 = 48,466,140/x
  3. Step 3: Cross multiply
    31,550,962x = 48,466,140 × 48,466,140
  4. Step 4: Simplify right side
    31,550,962x = 2,348,966,726,499,600
  5. Step 5: Solve for x
    x = 2,348,966,726,499,600/31,550,962
  6. Step 6: Final answer
    x = 74,449,924.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.