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Finding the Third Proportional to 78,332,887,534 and 117,582,241,018

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Solution

The third proportional to 78,332,887,534 and 117,582,241,018 is: 176,497,813,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332,887,534 : 117,582,241,018 = 117,582,241,018 : x
  2. Step 2: Convert to fraction form
    78,332,887,534/117,582,241,018 = 117,582,241,018/x
  3. Step 3: Cross multiply
    78,332,887,534x = 117,582,241,018 × 117,582,241,018
  4. Step 4: Simplify right side
    78,332,887,534x = 13,825,583,402,815,041,044,480
  5. Step 5: Solve for x
    x = 13,825,583,402,815,041,044,480/78,332,887,534
  6. Step 6: Final answer
    x = 176,497,813,856.46

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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.