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Finding the Third Proportional to 6,380,812 and 9,807,721

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Solution

The third proportional to 6,380,812 and 9,807,721 is: 15,075,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,812 : 9,807,721 = 9,807,721 : x
  2. Step 2: Convert to fraction form
    6,380,812/9,807,721 = 9,807,721/x
  3. Step 3: Cross multiply
    6,380,812x = 9,807,721 × 9,807,721
  4. Step 4: Simplify right side
    6,380,812x = 96,191,391,213,841
  5. Step 5: Solve for x
    x = 96,191,391,213,841/6,380,812
  6. Step 6: Final answer
    x = 15,075,101.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.