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Finding the Third Proportional to 6,184,220 and 13,466,314

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Solution

The third proportional to 6,184,220 and 13,466,314 is: 29,323,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,220 : 13,466,314 = 13,466,314 : x
  2. Step 2: Convert to fraction form
    6,184,220/13,466,314 = 13,466,314/x
  3. Step 3: Cross multiply
    6,184,220x = 13,466,314 × 13,466,314
  4. Step 4: Simplify right side
    6,184,220x = 181,341,612,746,596
  5. Step 5: Solve for x
    x = 181,341,612,746,596/6,184,220
  6. Step 6: Final answer
    x = 29,323,279.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.