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Finding the Third Proportional to 5,306,159 and 8,415,597

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Solution

The third proportional to 5,306,159 and 8,415,597 is: 13,347,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,159 : 8,415,597 = 8,415,597 : x
  2. Step 2: Convert to fraction form
    5,306,159/8,415,597 = 8,415,597/x
  3. Step 3: Cross multiply
    5,306,159x = 8,415,597 × 8,415,597
  4. Step 4: Simplify right side
    5,306,159x = 70,822,272,866,409
  5. Step 5: Solve for x
    x = 70,822,272,866,409/5,306,159
  6. Step 6: Final answer
    x = 13,347,182.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.