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Finding the Third Proportional to 6,817,562.44 and 9,566,416.41

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Solution

The third proportional to 6,817,562.44 and 9,566,416.41 is: 13,423,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,562.44 : 9,566,416.41 = 9,566,416.41 : x
  2. Step 2: Convert to fraction form
    6,817,562.44/9,566,416.41 = 9,566,416.41/x
  3. Step 3: Cross multiply
    6,817,562.44x = 9,566,416.41 × 9,566,416.41
  4. Step 4: Simplify right side
    6,817,562.44x = 91,516,322,857,769.17
  5. Step 5: Solve for x
    x = 91,516,322,857,769.17/6,817,562.44
  6. Step 6: Final answer
    x = 13,423,613.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.