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Finding the Third Proportional to 49,148,532 and 81,904,397.06

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Solution

The third proportional to 49,148,532 and 81,904,397.06 is: 136,490,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,532 : 81,904,397.06 = 81,904,397.06 : x
  2. Step 2: Convert to fraction form
    49,148,532/81,904,397.06 = 81,904,397.06/x
  3. Step 3: Cross multiply
    49,148,532x = 81,904,397.06 × 81,904,397.06
  4. Step 4: Simplify right side
    49,148,532x = 6,708,330,258,171,659
  5. Step 5: Solve for x
    x = 6,708,330,258,171,659/49,148,532
  6. Step 6: Final answer
    x = 136,490,958.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.