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Finding the Third Proportional to 3,686,124,970 and 8,123,599,624

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Solution

The third proportional to 3,686,124,970 and 8,123,599,624 is: 17,903,047,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,124,970 : 8,123,599,624 = 8,123,599,624 : x
  2. Step 2: Convert to fraction form
    3,686,124,970/8,123,599,624 = 8,123,599,624/x
  3. Step 3: Cross multiply
    3,686,124,970x = 8,123,599,624 × 8,123,599,624
  4. Step 4: Simplify right side
    3,686,124,970x = 65,992,870,851,052,945,408
  5. Step 5: Solve for x
    x = 65,992,870,851,052,945,408/3,686,124,970
  6. Step 6: Final answer
    x = 17,903,047,614.54

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