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Finding the Third Proportional to 24,257,034 and 53,071,812

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Solution

The third proportional to 24,257,034 and 53,071,812 is: 116,115,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257,034 : 53,071,812 = 53,071,812 : x
  2. Step 2: Convert to fraction form
    24,257,034/53,071,812 = 53,071,812/x
  3. Step 3: Cross multiply
    24,257,034x = 53,071,812 × 53,071,812
  4. Step 4: Simplify right side
    24,257,034x = 2,816,617,228,963,344
  5. Step 5: Solve for x
    x = 2,816,617,228,963,344/24,257,034
  6. Step 6: Final answer
    x = 116,115,483.41

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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.