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Finding the Third Proportional to 47,904,896.81 and 71,777,649.66

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Solution

The third proportional to 47,904,896.81 and 71,777,649.66 is: 107,547,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,904,896.81 : 71,777,649.66 = 71,777,649.66 : x
  2. Step 2: Convert to fraction form
    47,904,896.81/71,777,649.66 = 71,777,649.66/x
  3. Step 3: Cross multiply
    47,904,896.81x = 71,777,649.66 × 71,777,649.66
  4. Step 4: Simplify right side
    47,904,896.81x = 5,152,030,990,175,366
  5. Step 5: Solve for x
    x = 5,152,030,990,175,366/47,904,896.81
  6. Step 6: Final answer
    x = 107,547,063.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.