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Finding the Third Proportional to 23,877,696,801.75 and 51,109,642,524

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Solution

The third proportional to 23,877,696,801.75 and 51,109,642,524 is: 109,398,975,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877,696,801.75 : 51,109,642,524 = 51,109,642,524 : x
  2. Step 2: Convert to fraction form
    23,877,696,801.75/51,109,642,524 = 51,109,642,524/x
  3. Step 3: Cross multiply
    23,877,696,801.75x = 51,109,642,524 × 51,109,642,524
  4. Step 4: Simplify right side
    23,877,696,801.75x = 2,612,195,558,931,069,140,992
  5. Step 5: Solve for x
    x = 2,612,195,558,931,069,140,992/23,877,696,801.75
  6. Step 6: Final answer
    x = 109,398,975,144.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.