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Finding the Third Proportional to 10,780,938 and 16,283,693.25

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Solution

The third proportional to 10,780,938 and 16,283,693.25 is: 24,595,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780,938 : 16,283,693.25 = 16,283,693.25 : x
  2. Step 2: Convert to fraction form
    10,780,938/16,283,693.25 = 16,283,693.25/x
  3. Step 3: Cross multiply
    10,780,938x = 16,283,693.25 × 16,283,693.25
  4. Step 4: Simplify right side
    10,780,938x = 265,158,665,860,095.56
  5. Step 5: Solve for x
    x = 265,158,665,860,095.56/10,780,938
  6. Step 6: Final answer
    x = 24,595,138.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.