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Finding the Third Proportional to 44,406,228,834 and 96,949,799,008

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Solution

The third proportional to 44,406,228,834 and 96,949,799,008 is: 211,665,430,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,406,228,834 : 96,949,799,008 = 96,949,799,008 : x
  2. Step 2: Convert to fraction form
    44,406,228,834/96,949,799,008 = 96,949,799,008/x
  3. Step 3: Cross multiply
    44,406,228,834x = 96,949,799,008 × 96,949,799,008
  4. Step 4: Simplify right side
    44,406,228,834x = 9,399,263,527,691,597,381,632
  5. Step 5: Solve for x
    x = 9,399,263,527,691,597,381,632/44,406,228,834
  6. Step 6: Final answer
    x = 211,665,430,154.59

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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.