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Finding the Third Proportional to 23,642,761 and 51,057,746

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Solution

The third proportional to 23,642,761 and 51,057,746 is: 110,261,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642,761 : 51,057,746 = 51,057,746 : x
  2. Step 2: Convert to fraction form
    23,642,761/51,057,746 = 51,057,746/x
  3. Step 3: Cross multiply
    23,642,761x = 51,057,746 × 51,057,746
  4. Step 4: Simplify right side
    23,642,761x = 2,606,893,426,600,516
  5. Step 5: Solve for x
    x = 2,606,893,426,600,516/23,642,761
  6. Step 6: Final answer
    x = 110,261,801.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.