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Finding the Third Proportional to 24,257,072 and 53,071,888

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Solution

The third proportional to 24,257,072 and 53,071,888 is: 116,115,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257,072 : 53,071,888 = 53,071,888 : x
  2. Step 2: Convert to fraction form
    24,257,072/53,071,888 = 53,071,888/x
  3. Step 3: Cross multiply
    24,257,072x = 53,071,888 × 53,071,888
  4. Step 4: Simplify right side
    24,257,072x = 2,816,625,295,884,544
  5. Step 5: Solve for x
    x = 2,816,625,295,884,544/24,257,072
  6. Step 6: Final answer
    x = 116,115,634.07

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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.