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Finding the Third Proportional to 37,740,904 and 82,547,990

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Solution

The third proportional to 37,740,904 and 82,547,990 is: 180,551,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740,904 : 82,547,990 = 82,547,990 : x
  2. Step 2: Convert to fraction form
    37,740,904/82,547,990 = 82,547,990/x
  3. Step 3: Cross multiply
    37,740,904x = 82,547,990 × 82,547,990
  4. Step 4: Simplify right side
    37,740,904x = 6,814,170,653,040,100
  5. Step 5: Solve for x
    x = 6,814,170,653,040,100/37,740,904
  6. Step 6: Final answer
    x = 180,551,336.37

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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.