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Finding the Third Proportional to 5,193,740.25 and 8,911,582.88

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Solution

The third proportional to 5,193,740.25 and 8,911,582.88 is: 15,290,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193,740.25 : 8,911,582.88 = 8,911,582.88 : x
  2. Step 2: Convert to fraction form
    5,193,740.25/8,911,582.88 = 8,911,582.88/x
  3. Step 3: Cross multiply
    5,193,740.25x = 8,911,582.88 × 8,911,582.88
  4. Step 4: Simplify right side
    5,193,740.25x = 79,416,309,337,993.27
  5. Step 5: Solve for x
    x = 79,416,309,337,993.27/5,193,740.25
  6. Step 6: Final answer
    x = 15,290,774.18

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.