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Finding the Third Proportional to 132,044,920,676 and 286,016,055,508

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Solution

The third proportional to 132,044,920,676 and 286,016,055,508 is: 619,525,412,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,044,920,676 : 286,016,055,508 = 286,016,055,508 : x
  2. Step 2: Convert to fraction form
    132,044,920,676/286,016,055,508 = 286,016,055,508/x
  3. Step 3: Cross multiply
    132,044,920,676x = 286,016,055,508 × 286,016,055,508
  4. Step 4: Simplify right side
    132,044,920,676x = 81,805,184,008,355,342,974,976
  5. Step 5: Solve for x
    x = 81,805,184,008,355,342,974,976/132,044,920,676
  6. Step 6: Final answer
    x = 619,525,412,939.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.