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Finding the Third Proportional to 27,862,048 and 43,053,984

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Solution

The third proportional to 27,862,048 and 43,053,984 is: 66,529,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862,048 : 43,053,984 = 43,053,984 : x
  2. Step 2: Convert to fraction form
    27,862,048/43,053,984 = 43,053,984/x
  3. Step 3: Cross multiply
    27,862,048x = 43,053,984 × 43,053,984
  4. Step 4: Simplify right side
    27,862,048x = 1,853,645,538,272,256
  5. Step 5: Solve for x
    x = 1,853,645,538,272,256/27,862,048
  6. Step 6: Final answer
    x = 66,529,407.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.