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Finding the Third Proportional to 3,084,480 and 6,829,632

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Solution

The third proportional to 3,084,480 and 6,829,632 is: 15,122,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,480 : 6,829,632 = 6,829,632 : x
  2. Step 2: Convert to fraction form
    3,084,480/6,829,632 = 6,829,632/x
  3. Step 3: Cross multiply
    3,084,480x = 6,829,632 × 6,829,632
  4. Step 4: Simplify right side
    3,084,480x = 46,643,873,255,424
  5. Step 5: Solve for x
    x = 46,643,873,255,424/3,084,480
  6. Step 6: Final answer
    x = 15,122,118.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.