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Finding the Third Proportional to 5,650,214 and 12,356,724

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Solution

The third proportional to 5,650,214 and 12,356,724 is: 27,023,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,214 : 12,356,724 = 12,356,724 : x
  2. Step 2: Convert to fraction form
    5,650,214/12,356,724 = 12,356,724/x
  3. Step 3: Cross multiply
    5,650,214x = 12,356,724 × 12,356,724
  4. Step 4: Simplify right side
    5,650,214x = 152,688,628,012,176
  5. Step 5: Solve for x
    x = 152,688,628,012,176/5,650,214
  6. Step 6: Final answer
    x = 27,023,512.39

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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.