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Finding the Third Proportional to 10,851,670 and 14,466,019

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Solution

The third proportional to 10,851,670 and 14,466,019 is: 19,284,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851,670 : 14,466,019 = 14,466,019 : x
  2. Step 2: Convert to fraction form
    10,851,670/14,466,019 = 14,466,019/x
  3. Step 3: Cross multiply
    10,851,670x = 14,466,019 × 14,466,019
  4. Step 4: Simplify right side
    10,851,670x = 209,265,705,708,361
  5. Step 5: Solve for x
    x = 209,265,705,708,361/10,851,670
  6. Step 6: Final answer
    x = 19,284,193.65

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.