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Finding the Third Proportional to 8,549,372.25 and 12,781,386

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Solution

The third proportional to 8,549,372.25 and 12,781,386 is: 19,108,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549,372.25 : 12,781,386 = 12,781,386 : x
  2. Step 2: Convert to fraction form
    8,549,372.25/12,781,386 = 12,781,386/x
  3. Step 3: Cross multiply
    8,549,372.25x = 12,781,386 × 12,781,386
  4. Step 4: Simplify right side
    8,549,372.25x = 163,363,828,080,996
  5. Step 5: Solve for x
    x = 163,363,828,080,996/8,549,372.25
  6. Step 6: Final answer
    x = 19,108,283.43

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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.