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Finding the Third Proportional to 23,635,074 and 51,411,246

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Solution

The third proportional to 23,635,074 and 51,411,246 is: 111,830,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,074 : 51,411,246 = 51,411,246 : x
  2. Step 2: Convert to fraction form
    23,635,074/51,411,246 = 51,411,246/x
  3. Step 3: Cross multiply
    23,635,074x = 51,411,246 × 51,411,246
  4. Step 4: Simplify right side
    23,635,074x = 2,643,116,215,272,516
  5. Step 5: Solve for x
    x = 2,643,116,215,272,516/23,635,074
  6. Step 6: Final answer
    x = 111,830,249.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.