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Finding the Third Proportional to 5,817,840 and 12,693,216

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Solution

The third proportional to 5,817,840 and 12,693,216 is: 27,693,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817,840 : 12,693,216 = 12,693,216 : x
  2. Step 2: Convert to fraction form
    5,817,840/12,693,216 = 12,693,216/x
  3. Step 3: Cross multiply
    5,817,840x = 12,693,216 × 12,693,216
  4. Step 4: Simplify right side
    5,817,840x = 161,117,732,422,656
  5. Step 5: Solve for x
    x = 161,117,732,422,656/5,817,840
  6. Step 6: Final answer
    x = 27,693,737.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.