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Finding the Third Proportional to 6,004,901 and 9,294,578

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Solution

The third proportional to 6,004,901 and 9,294,578 is: 14,386,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,901 : 9,294,578 = 9,294,578 : x
  2. Step 2: Convert to fraction form
    6,004,901/9,294,578 = 9,294,578/x
  3. Step 3: Cross multiply
    6,004,901x = 9,294,578 × 9,294,578
  4. Step 4: Simplify right side
    6,004,901x = 86,389,180,198,084
  5. Step 5: Solve for x
    x = 86,389,180,198,084/6,004,901
  6. Step 6: Final answer
    x = 14,386,445.37

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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.