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Finding the Third Proportional to 24,257,076 and 53,071,896

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Solution

The third proportional to 24,257,076 and 53,071,896 is: 116,115,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257,076 : 53,071,896 = 53,071,896 : x
  2. Step 2: Convert to fraction form
    24,257,076/53,071,896 = 53,071,896/x
  3. Step 3: Cross multiply
    24,257,076x = 53,071,896 × 53,071,896
  4. Step 4: Simplify right side
    24,257,076x = 2,816,626,145,034,816
  5. Step 5: Solve for x
    x = 2,816,626,145,034,816/24,257,076
  6. Step 6: Final answer
    x = 116,115,649.93

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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.