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Finding the Third Proportional to 11,164,344 and 24,039,382

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Solution

The third proportional to 11,164,344 and 24,039,382 is: 51,762,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164,344 : 24,039,382 = 24,039,382 : x
  2. Step 2: Convert to fraction form
    11,164,344/24,039,382 = 24,039,382/x
  3. Step 3: Cross multiply
    11,164,344x = 24,039,382 × 24,039,382
  4. Step 4: Simplify right side
    11,164,344x = 577,891,886,941,924
  5. Step 5: Solve for x
    x = 577,891,886,941,924/11,164,344
  6. Step 6: Final answer
    x = 51,762,278.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.