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Finding the Third Proportional to 24,898,555,790 and 53,772,561,292

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Solution

The third proportional to 24,898,555,790 and 53,772,561,292 is: 116,130,765,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898,555,790 : 53,772,561,292 = 53,772,561,292 : x
  2. Step 2: Convert to fraction form
    24,898,555,790/53,772,561,292 = 53,772,561,292/x
  3. Step 3: Cross multiply
    24,898,555,790x = 53,772,561,292 × 53,772,561,292
  4. Step 4: Simplify right side
    24,898,555,790x = 2,891,488,347,901,896,687,616
  5. Step 5: Solve for x
    x = 2,891,488,347,901,896,687,616/24,898,555,790
  6. Step 6: Final answer
    x = 116,130,765,667.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.