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Finding the Third Proportional to 8,427,768 and 12,618,562

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Solution

The third proportional to 8,427,768 and 12,618,562 is: 18,893,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427,768 : 12,618,562 = 12,618,562 : x
  2. Step 2: Convert to fraction form
    8,427,768/12,618,562 = 12,618,562/x
  3. Step 3: Cross multiply
    8,427,768x = 12,618,562 × 12,618,562
  4. Step 4: Simplify right side
    8,427,768x = 159,228,106,947,844
  5. Step 5: Solve for x
    x = 159,228,106,947,844/8,427,768
  6. Step 6: Final answer
    x = 18,893,271.26

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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.