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Finding the Third Proportional to 5,301,871 and 8,159,478

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Solution

The third proportional to 5,301,871 and 8,159,478 is: 12,557,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,871 : 8,159,478 = 8,159,478 : x
  2. Step 2: Convert to fraction form
    5,301,871/8,159,478 = 8,159,478/x
  3. Step 3: Cross multiply
    5,301,871x = 8,159,478 × 8,159,478
  4. Step 4: Simplify right side
    5,301,871x = 66,577,081,232,484
  5. Step 5: Solve for x
    x = 66,577,081,232,484/5,301,871
  6. Step 6: Final answer
    x = 12,557,280.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.