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Finding the Third Proportional to 6,380,814 and 9,807,724

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Solution

The third proportional to 6,380,814 and 9,807,724 is: 15,075,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,814 : 9,807,724 = 9,807,724 : x
  2. Step 2: Convert to fraction form
    6,380,814/9,807,724 = 9,807,724/x
  3. Step 3: Cross multiply
    6,380,814x = 9,807,724 × 9,807,724
  4. Step 4: Simplify right side
    6,380,814x = 96,191,450,060,176
  5. Step 5: Solve for x
    x = 96,191,450,060,176/6,380,814
  6. Step 6: Final answer
    x = 15,075,106.41

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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.