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Finding the Third Proportional to 23,877,696,999 and 51,109,642,932

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Solution

The third proportional to 23,877,696,999 and 51,109,642,932 is: 109,398,975,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877,696,999 : 51,109,642,932 = 51,109,642,932 : x
  2. Step 2: Convert to fraction form
    23,877,696,999/51,109,642,932 = 51,109,642,932/x
  3. Step 3: Cross multiply
    23,877,696,999x = 51,109,642,932 × 51,109,642,932
  4. Step 4: Simplify right side
    23,877,696,999x = 2,612,195,600,636,537,470,976
  5. Step 5: Solve for x
    x = 2,612,195,600,636,537,470,976/23,877,696,999
  6. Step 6: Final answer
    x = 109,398,975,987.76

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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.