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Finding the Third Proportional to 40,377,889,064 and 88,354,675,839

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Solution

The third proportional to 40,377,889,064 and 88,354,675,839 is: 193,337,218,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377,889,064 : 88,354,675,839 = 88,354,675,839 : x
  2. Step 2: Convert to fraction form
    40,377,889,064/88,354,675,839 = 88,354,675,839/x
  3. Step 3: Cross multiply
    40,377,889,064x = 88,354,675,839 × 88,354,675,839
  4. Step 4: Simplify right side
    40,377,889,064x = 7,806,548,742,614,770,778,112
  5. Step 5: Solve for x
    x = 7,806,548,742,614,770,778,112/40,377,889,064
  6. Step 6: Final answer
    x = 193,337,218,056.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.