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Finding the Third Proportional to 4,233,288.38 and 9,288,752.06

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Solution

The third proportional to 4,233,288.38 and 9,288,752.06 is: 20,381,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233,288.38 : 9,288,752.06 = 9,288,752.06 : x
  2. Step 2: Convert to fraction form
    4,233,288.38/9,288,752.06 = 9,288,752.06/x
  3. Step 3: Cross multiply
    4,233,288.38x = 9,288,752.06 × 9,288,752.06
  4. Step 4: Simplify right side
    4,233,288.38x = 86,280,914,878,598
  5. Step 5: Solve for x
    x = 86,280,914,878,598/4,233,288.38
  6. Step 6: Final answer
    x = 20,381,534.93

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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.