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Finding the Third Proportional to 40,377,889,060 and 88,354,675,831

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Solution

The third proportional to 40,377,889,060 and 88,354,675,831 is: 193,337,218,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377,889,060 : 88,354,675,831 = 88,354,675,831 : x
  2. Step 2: Convert to fraction form
    40,377,889,060/88,354,675,831 = 88,354,675,831/x
  3. Step 3: Cross multiply
    40,377,889,060x = 88,354,675,831 × 88,354,675,831
  4. Step 4: Simplify right side
    40,377,889,060x = 7,806,548,741,201,095,294,976
  5. Step 5: Solve for x
    x = 7,806,548,741,201,095,294,976/40,377,889,060
  6. Step 6: Final answer
    x = 193,337,218,040.32

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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.