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Finding the Third Proportional to 2,367,202 and 5,177,362

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Solution

The third proportional to 2,367,202 and 5,177,362 is: 11,323,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,202 : 5,177,362 = 5,177,362 : x
  2. Step 2: Convert to fraction form
    2,367,202/5,177,362 = 5,177,362/x
  3. Step 3: Cross multiply
    2,367,202x = 5,177,362 × 5,177,362
  4. Step 4: Simplify right side
    2,367,202x = 26,805,077,279,044
  5. Step 5: Solve for x
    x = 26,805,077,279,044/2,367,202
  6. Step 6: Final answer
    x = 11,323,527.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.