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Finding the Third Proportional to 9,699,727.50 and 13,486,695.75

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Solution

The third proportional to 9,699,727.50 and 13,486,695.75 is: 18,752,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,727.50 : 13,486,695.75 = 13,486,695.75 : x
  2. Step 2: Convert to fraction form
    9,699,727.50/13,486,695.75 = 13,486,695.75/x
  3. Step 3: Cross multiply
    9,699,727.50x = 13,486,695.75 × 13,486,695.75
  4. Step 4: Simplify right side
    9,699,727.50x = 181,890,962,253,068.06
  5. Step 5: Solve for x
    x = 181,890,962,253,068.06/9,699,727.50
  6. Step 6: Final answer
    x = 18,752,172.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.