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Finding the Third Proportional to 55,028,706 and 82,681,731

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Solution

The third proportional to 55,028,706 and 82,681,731 is: 124,230,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,028,706 : 82,681,731 = 82,681,731 : x
  2. Step 2: Convert to fraction form
    55,028,706/82,681,731 = 82,681,731/x
  3. Step 3: Cross multiply
    55,028,706x = 82,681,731 × 82,681,731
  4. Step 4: Simplify right side
    55,028,706x = 6,836,268,641,156,361
  5. Step 5: Solve for x
    x = 6,836,268,641,156,361/55,028,706
  6. Step 6: Final answer
    x = 124,230,953.95

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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.