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Finding the Third Proportional to 41,048,624 and 89,241,984

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Solution

The third proportional to 41,048,624 and 89,241,984 is: 194,017,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,048,624 : 89,241,984 = 89,241,984 : x
  2. Step 2: Convert to fraction form
    41,048,624/89,241,984 = 89,241,984/x
  3. Step 3: Cross multiply
    41,048,624x = 89,241,984 × 89,241,984
  4. Step 4: Simplify right side
    41,048,624x = 7,964,131,708,256,256
  5. Step 5: Solve for x
    x = 7,964,131,708,256,256/41,048,624
  6. Step 6: Final answer
    x = 194,017,020.11

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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.