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Finding the Third Proportional to 6,184,223 and 13,466,320

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Solution

The third proportional to 6,184,223 and 13,466,320 is: 29,323,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,223 : 13,466,320 = 13,466,320 : x
  2. Step 2: Convert to fraction form
    6,184,223/13,466,320 = 13,466,320/x
  3. Step 3: Cross multiply
    6,184,223x = 13,466,320 × 13,466,320
  4. Step 4: Simplify right side
    6,184,223x = 181,341,774,342,400
  5. Step 5: Solve for x
    x = 181,341,774,342,400/6,184,223
  6. Step 6: Final answer
    x = 29,323,291.60

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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.