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Finding the Third Proportional to 78,332,887,542 and 117,582,241,029

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Solution

The third proportional to 78,332,887,542 and 117,582,241,029 is: 176,497,813,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332,887,542 : 117,582,241,029 = 117,582,241,029 : x
  2. Step 2: Convert to fraction form
    78,332,887,542/117,582,241,029 = 117,582,241,029/x
  3. Step 3: Cross multiply
    78,332,887,542x = 117,582,241,029 × 117,582,241,029
  4. Step 4: Simplify right side
    78,332,887,542x = 13,825,583,405,401,850,773,504
  5. Step 5: Solve for x
    x = 13,825,583,405,401,850,773,504/78,332,887,542
  6. Step 6: Final answer
    x = 176,497,813,871.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.