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Finding the Third Proportional to 3,183,561 and 6,871,284

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Solution

The third proportional to 3,183,561 and 6,871,284 is: 14,830,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,561 : 6,871,284 = 6,871,284 : x
  2. Step 2: Convert to fraction form
    3,183,561/6,871,284 = 6,871,284/x
  3. Step 3: Cross multiply
    3,183,561x = 6,871,284 × 6,871,284
  4. Step 4: Simplify right side
    3,183,561x = 47,214,543,808,656
  5. Step 5: Solve for x
    x = 47,214,543,808,656/3,183,561
  6. Step 6: Final answer
    x = 14,830,733.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.