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Finding the Third Proportional to 55,649,260 and 76,896,750

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Solution

The third proportional to 55,649,260 and 76,896,750 is: 106,256,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649,260 : 76,896,750 = 76,896,750 : x
  2. Step 2: Convert to fraction form
    55,649,260/76,896,750 = 76,896,750/x
  3. Step 3: Cross multiply
    55,649,260x = 76,896,750 × 76,896,750
  4. Step 4: Simplify right side
    55,649,260x = 5,913,110,160,562,500
  5. Step 5: Solve for x
    x = 5,913,110,160,562,500/55,649,260
  6. Step 6: Final answer
    x = 106,256,761.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.