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Finding the Third Proportional to 48,739,476 and 107,045,436

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Solution

The third proportional to 48,739,476 and 107,045,436 is: 235,101,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739,476 : 107,045,436 = 107,045,436 : x
  2. Step 2: Convert to fraction form
    48,739,476/107,045,436 = 107,045,436/x
  3. Step 3: Cross multiply
    48,739,476x = 107,045,436 × 107,045,436
  4. Step 4: Simplify right side
    48,739,476x = 11,458,725,368,430,096
  5. Step 5: Solve for x
    x = 11,458,725,368,430,096/48,739,476
  6. Step 6: Final answer
    x = 235,101,529.78

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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.