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Finding the Third Proportional to 41,448,001,770 and 63,669,200,529

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Solution

The third proportional to 41,448,001,770 and 63,669,200,529 is: 97,803,679,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448,001,770 : 63,669,200,529 = 63,669,200,529 : x
  2. Step 2: Convert to fraction form
    41,448,001,770/63,669,200,529 = 63,669,200,529/x
  3. Step 3: Cross multiply
    41,448,001,770x = 63,669,200,529 × 63,669,200,529
  4. Step 4: Simplify right side
    41,448,001,770x = 4,053,767,096,002,014,085,120
  5. Step 5: Solve for x
    x = 4,053,767,096,002,014,085,120/41,448,001,770
  6. Step 6: Final answer
    x = 97,803,679,861.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.