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Finding the Third Proportional to 3,670,214 and 7,871,778

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Solution

The third proportional to 3,670,214 and 7,871,778 is: 16,883,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,214 : 7,871,778 = 7,871,778 : x
  2. Step 2: Convert to fraction form
    3,670,214/7,871,778 = 7,871,778/x
  3. Step 3: Cross multiply
    3,670,214x = 7,871,778 × 7,871,778
  4. Step 4: Simplify right side
    3,670,214x = 61,964,888,881,284
  5. Step 5: Solve for x
    x = 61,964,888,881,284/3,670,214
  6. Step 6: Final answer
    x = 16,883,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.