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Finding the Third Proportional to 2,913,594 and 6,344,443.50

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Solution

The third proportional to 2,913,594 and 6,344,443.50 is: 13,815,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,594 : 6,344,443.50 = 6,344,443.50 : x
  2. Step 2: Convert to fraction form
    2,913,594/6,344,443.50 = 6,344,443.50/x
  3. Step 3: Cross multiply
    2,913,594x = 6,344,443.50 × 6,344,443.50
  4. Step 4: Simplify right side
    2,913,594x = 40,251,963,324,692.25
  5. Step 5: Solve for x
    x = 40,251,963,324,692.25/2,913,594
  6. Step 6: Final answer
    x = 13,815,227.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.