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Finding the Third Proportional to 40,377,889,064 and 88,354,675,840

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Solution

The third proportional to 40,377,889,064 and 88,354,675,840 is: 193,337,218,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377,889,064 : 88,354,675,840 = 88,354,675,840 : x
  2. Step 2: Convert to fraction form
    40,377,889,064/88,354,675,840 = 88,354,675,840/x
  3. Step 3: Cross multiply
    40,377,889,064x = 88,354,675,840 × 88,354,675,840
  4. Step 4: Simplify right side
    40,377,889,064x = 7,806,548,742,791,479,951,360
  5. Step 5: Solve for x
    x = 7,806,548,742,791,479,951,360/40,377,889,064
  6. Step 6: Final answer
    x = 193,337,218,060.56

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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.