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Finding the Third Proportional to 5,783,220 and 12,563,414

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Solution

The third proportional to 5,783,220 and 12,563,414 is: 27,292,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,220 : 12,563,414 = 12,563,414 : x
  2. Step 2: Convert to fraction form
    5,783,220/12,563,414 = 12,563,414/x
  3. Step 3: Cross multiply
    5,783,220x = 12,563,414 × 12,563,414
  4. Step 4: Simplify right side
    5,783,220x = 157,839,371,335,396
  5. Step 5: Solve for x
    x = 157,839,371,335,396/5,783,220
  6. Step 6: Final answer
    x = 27,292,645.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.