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Finding the Third Proportional to 3,686,124,982 and 8,123,599,645

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Solution

The third proportional to 3,686,124,982 and 8,123,599,645 is: 17,903,047,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,124,982 : 8,123,599,645 = 8,123,599,645 : x
  2. Step 2: Convert to fraction form
    3,686,124,982/8,123,599,645 = 8,123,599,645/x
  3. Step 3: Cross multiply
    3,686,124,982x = 8,123,599,645 × 8,123,599,645
  4. Step 4: Simplify right side
    3,686,124,982x = 65,992,871,192,244,125,696
  5. Step 5: Solve for x
    x = 65,992,871,192,244,125,696/3,686,124,982
  6. Step 6: Final answer
    x = 17,903,047,648.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.