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Finding the Third Proportional to 3,968,770 and 8,414,428

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Solution

The third proportional to 3,968,770 and 8,414,428 is: 17,839,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968,770 : 8,414,428 = 8,414,428 : x
  2. Step 2: Convert to fraction form
    3,968,770/8,414,428 = 8,414,428/x
  3. Step 3: Cross multiply
    3,968,770x = 8,414,428 × 8,414,428
  4. Step 4: Simplify right side
    3,968,770x = 70,802,598,567,184
  5. Step 5: Solve for x
    x = 70,802,598,567,184/3,968,770
  6. Step 6: Final answer
    x = 17,839,934.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.