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Finding the Third Proportional to 10,025,748 and 21,194,424

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Solution

The third proportional to 10,025,748 and 21,194,424 is: 44,804,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025,748 : 21,194,424 = 21,194,424 : x
  2. Step 2: Convert to fraction form
    10,025,748/21,194,424 = 21,194,424/x
  3. Step 3: Cross multiply
    10,025,748x = 21,194,424 × 21,194,424
  4. Step 4: Simplify right side
    10,025,748x = 449,203,608,691,776
  5. Step 5: Solve for x
    x = 449,203,608,691,776/10,025,748
  6. Step 6: Final answer
    x = 44,804,996.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.