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Finding the Third Proportional to 24,727,936 and 53,112,320

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Solution

The third proportional to 24,727,936 and 53,112,320 is: 114,078,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727,936 : 53,112,320 = 53,112,320 : x
  2. Step 2: Convert to fraction form
    24,727,936/53,112,320 = 53,112,320/x
  3. Step 3: Cross multiply
    24,727,936x = 53,112,320 × 53,112,320
  4. Step 4: Simplify right side
    24,727,936x = 2,820,918,535,782,400
  5. Step 5: Solve for x
    x = 2,820,918,535,782,400/24,727,936
  6. Step 6: Final answer
    x = 114,078,204.33

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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.