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Finding the Third Proportional to 48,739,478 and 107,045,440

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Solution

The third proportional to 48,739,478 and 107,045,440 is: 235,101,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739,478 : 107,045,440 = 107,045,440 : x
  2. Step 2: Convert to fraction form
    48,739,478/107,045,440 = 107,045,440/x
  3. Step 3: Cross multiply
    48,739,478x = 107,045,440 × 107,045,440
  4. Step 4: Simplify right side
    48,739,478x = 11,458,726,224,793,600
  5. Step 5: Solve for x
    x = 11,458,726,224,793,600/48,739,478
  6. Step 6: Final answer
    x = 235,101,537.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.