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Finding the Third Proportional to 41,527,983 and 89,445,840

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Solution

The third proportional to 41,527,983 and 89,445,840 is: 192,654,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527,983 : 89,445,840 = 89,445,840 : x
  2. Step 2: Convert to fraction form
    41,527,983/89,445,840 = 89,445,840/x
  3. Step 3: Cross multiply
    41,527,983x = 89,445,840 × 89,445,840
  4. Step 4: Simplify right side
    41,527,983x = 8,000,558,293,305,600
  5. Step 5: Solve for x
    x = 8,000,558,293,305,600/41,527,983
  6. Step 6: Final answer
    x = 192,654,632.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.