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Finding the Third Proportional to 48,740,748 and 75,714,199

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Solution

The third proportional to 48,740,748 and 75,714,199 is: 117,614,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,740,748 : 75,714,199 = 75,714,199 : x
  2. Step 2: Convert to fraction form
    48,740,748/75,714,199 = 75,714,199/x
  3. Step 3: Cross multiply
    48,740,748x = 75,714,199 × 75,714,199
  4. Step 4: Simplify right side
    48,740,748x = 5,732,639,930,211,601
  5. Step 5: Solve for x
    x = 5,732,639,930,211,601/48,740,748
  6. Step 6: Final answer
    x = 117,614,935.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.