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Finding the Third Proportional to 2,353,315.50 and 5,138,202

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Solution

The third proportional to 2,353,315.50 and 5,138,202 is: 11,218,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,315.50 : 5,138,202 = 5,138,202 : x
  2. Step 2: Convert to fraction form
    2,353,315.50/5,138,202 = 5,138,202/x
  3. Step 3: Cross multiply
    2,353,315.50x = 5,138,202 × 5,138,202
  4. Step 4: Simplify right side
    2,353,315.50x = 26,401,119,792,804
  5. Step 5: Solve for x
    x = 26,401,119,792,804/2,353,315.50
  6. Step 6: Final answer
    x = 11,218,691.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.