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Finding the Third Proportional to 10,402,419 and 13,802,898

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Solution

The third proportional to 10,402,419 and 13,802,898 is: 18,314,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,419 : 13,802,898 = 13,802,898 : x
  2. Step 2: Convert to fraction form
    10,402,419/13,802,898 = 13,802,898/x
  3. Step 3: Cross multiply
    10,402,419x = 13,802,898 × 13,802,898
  4. Step 4: Simplify right side
    10,402,419x = 190,519,993,198,404
  5. Step 5: Solve for x
    x = 190,519,993,198,404/10,402,419
  6. Step 6: Final answer
    x = 18,314,970.12

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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.