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Finding the Third Proportional to 3,766,905 and 8,175,967.88

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Solution

The third proportional to 3,766,905 and 8,175,967.88 is: 17,745,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766,905 : 8,175,967.88 = 8,175,967.88 : x
  2. Step 2: Convert to fraction form
    3,766,905/8,175,967.88 = 8,175,967.88/x
  3. Step 3: Cross multiply
    3,766,905x = 8,175,967.88 × 8,175,967.88
  4. Step 4: Simplify right side
    3,766,905x = 66,846,450,693,032.02
  5. Step 5: Solve for x
    x = 66,846,450,693,032.02/3,766,905
  6. Step 6: Final answer
    x = 17,745,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.