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Finding the Third Proportional to 3,645,600 and 7,977,424

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Solution

The third proportional to 3,645,600 and 7,977,424 is: 17,456,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,600 : 7,977,424 = 7,977,424 : x
  2. Step 2: Convert to fraction form
    3,645,600/7,977,424 = 7,977,424/x
  3. Step 3: Cross multiply
    3,645,600x = 7,977,424 × 7,977,424
  4. Step 4: Simplify right side
    3,645,600x = 63,639,293,675,776
  5. Step 5: Solve for x
    x = 63,639,293,675,776/3,645,600
  6. Step 6: Final answer
    x = 17,456,466.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.