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Finding the Third Proportional to 3,139,673 and 6,781,222

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Solution

The third proportional to 3,139,673 and 6,781,222 is: 14,646,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139,673 : 6,781,222 = 6,781,222 : x
  2. Step 2: Convert to fraction form
    3,139,673/6,781,222 = 6,781,222/x
  3. Step 3: Cross multiply
    3,139,673x = 6,781,222 × 6,781,222
  4. Step 4: Simplify right side
    3,139,673x = 45,984,971,813,284
  5. Step 5: Solve for x
    x = 45,984,971,813,284/3,139,673
  6. Step 6: Final answer
    x = 14,646,420.76

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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.