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Finding the Third Proportional to 37,854,582 and 82,352,178

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Solution

The third proportional to 37,854,582 and 82,352,178 is: 179,156,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854,582 : 82,352,178 = 82,352,178 : x
  2. Step 2: Convert to fraction form
    37,854,582/82,352,178 = 82,352,178/x
  3. Step 3: Cross multiply
    37,854,582x = 82,352,178 × 82,352,178
  4. Step 4: Simplify right side
    37,854,582x = 6,781,881,221,343,684
  5. Step 5: Solve for x
    x = 6,781,881,221,343,684/37,854,582
  6. Step 6: Final answer
    x = 179,156,151.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.