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Finding the Third Proportional to 24,257,084 and 53,071,912

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Solution

The third proportional to 24,257,084 and 53,071,912 is: 116,115,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257,084 : 53,071,912 = 53,071,912 : x
  2. Step 2: Convert to fraction form
    24,257,084/53,071,912 = 53,071,912/x
  3. Step 3: Cross multiply
    24,257,084x = 53,071,912 × 53,071,912
  4. Step 4: Simplify right side
    24,257,084x = 2,816,627,843,335,744
  5. Step 5: Solve for x
    x = 2,816,627,843,335,744/24,257,084
  6. Step 6: Final answer
    x = 116,115,681.64

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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.