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Finding the Third Proportional to 23,828,524.31 and 51,436,184.63

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Solution

The third proportional to 23,828,524.31 and 51,436,184.63 is: 111,030,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828,524.31 : 51,436,184.63 = 51,436,184.63 : x
  2. Step 2: Convert to fraction form
    23,828,524.31/51,436,184.63 = 51,436,184.63/x
  3. Step 3: Cross multiply
    23,828,524.31x = 51,436,184.63 × 51,436,184.63
  4. Step 4: Simplify right side
    23,828,524.31x = 2,645,681,088,777,086.50
  5. Step 5: Solve for x
    x = 2,645,681,088,777,086.50/23,828,524.31
  6. Step 6: Final answer
    x = 111,030,001.44

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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.