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Finding the Third Proportional to 6,004,903 and 9,294,581

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Solution

The third proportional to 6,004,903 and 9,294,581 is: 14,386,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,903 : 9,294,581 = 9,294,581 : x
  2. Step 2: Convert to fraction form
    6,004,903/9,294,581 = 9,294,581/x
  3. Step 3: Cross multiply
    6,004,903x = 9,294,581 × 9,294,581
  4. Step 4: Simplify right side
    6,004,903x = 86,389,235,965,561
  5. Step 5: Solve for x
    x = 86,389,235,965,561/6,004,903
  6. Step 6: Final answer
    x = 14,386,449.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.