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Finding the Third Proportional to 8,020,871 and 16,702,702

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Solution

The third proportional to 8,020,871 and 16,702,702 is: 34,781,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,871 : 16,702,702 = 16,702,702 : x
  2. Step 2: Convert to fraction form
    8,020,871/16,702,702 = 16,702,702/x
  3. Step 3: Cross multiply
    8,020,871x = 16,702,702 × 16,702,702
  4. Step 4: Simplify right side
    8,020,871x = 278,980,254,100,804
  5. Step 5: Solve for x
    x = 278,980,254,100,804/8,020,871
  6. Step 6: Final answer
    x = 34,781,790.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.