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Finding the Third Proportional to 24,898,555,782 and 53,772,561,276

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Solution

The third proportional to 24,898,555,782 and 53,772,561,276 is: 116,130,765,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898,555,782 : 53,772,561,276 = 53,772,561,276 : x
  2. Step 2: Convert to fraction form
    24,898,555,782/53,772,561,276 = 53,772,561,276/x
  3. Step 3: Cross multiply
    24,898,555,782x = 53,772,561,276 × 53,772,561,276
  4. Step 4: Simplify right side
    24,898,555,782x = 2,891,488,346,181,174,558,720
  5. Step 5: Solve for x
    x = 2,891,488,346,181,174,558,720/24,898,555,782
  6. Step 6: Final answer
    x = 116,130,765,635.47

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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.