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Finding the Third Proportional to 4,400,633 and 7,002,275.50

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Solution

The third proportional to 4,400,633 and 7,002,275.50 is: 11,142,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400,633 : 7,002,275.50 = 7,002,275.50 : x
  2. Step 2: Convert to fraction form
    4,400,633/7,002,275.50 = 7,002,275.50/x
  3. Step 3: Cross multiply
    4,400,633x = 7,002,275.50 × 7,002,275.50
  4. Step 4: Simplify right side
    4,400,633x = 49,031,862,177,900.25
  5. Step 5: Solve for x
    x = 49,031,862,177,900.25/4,400,633
  6. Step 6: Final answer
    x = 11,142,002.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.