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Finding the Third Proportional to 23,877,696,998.25 and 51,109,642,930.50

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Solution

The third proportional to 23,877,696,998.25 and 51,109,642,930.50 is: 109,398,975,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877,696,998.25 : 51,109,642,930.50 = 51,109,642,930.50 : x
  2. Step 2: Convert to fraction form
    23,877,696,998.25/51,109,642,930.50 = 51,109,642,930.50/x
  3. Step 3: Cross multiply
    23,877,696,998.25x = 51,109,642,930.50 × 51,109,642,930.50
  4. Step 4: Simplify right side
    23,877,696,998.25x = 2,612,195,600,483,208,396,800
  5. Step 5: Solve for x
    x = 2,612,195,600,483,208,396,800/23,877,696,998.25
  6. Step 6: Final answer
    x = 109,398,975,984.77

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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.