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Finding the Third Proportional to 2,619,657 and 5,637,699

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Solution

The third proportional to 2,619,657 and 5,637,699 is: 12,132,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619,657 : 5,637,699 = 5,637,699 : x
  2. Step 2: Convert to fraction form
    2,619,657/5,637,699 = 5,637,699/x
  3. Step 3: Cross multiply
    2,619,657x = 5,637,699 × 5,637,699
  4. Step 4: Simplify right side
    2,619,657x = 31,783,650,014,601
  5. Step 5: Solve for x
    x = 31,783,650,014,601/2,619,657
  6. Step 6: Final answer
    x = 12,132,752.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.