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Finding the Third Proportional to 31,926,873.94 and 70,034,209.88

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Solution

The third proportional to 31,926,873.94 and 70,034,209.88 is: 153,625,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926,873.94 : 70,034,209.88 = 70,034,209.88 : x
  2. Step 2: Convert to fraction form
    31,926,873.94/70,034,209.88 = 70,034,209.88/x
  3. Step 3: Cross multiply
    31,926,873.94x = 70,034,209.88 × 70,034,209.88
  4. Step 4: Simplify right side
    31,926,873.94x = 4,904,790,552,815,548
  5. Step 5: Solve for x
    x = 4,904,790,552,815,548/31,926,873.94
  6. Step 6: Final answer
    x = 153,625,768.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.