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Finding the Third Proportional to 6,234,688 and 13,416,320

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Solution

The third proportional to 6,234,688 and 13,416,320 is: 28,870,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234,688 : 13,416,320 = 13,416,320 : x
  2. Step 2: Convert to fraction form
    6,234,688/13,416,320 = 13,416,320/x
  3. Step 3: Cross multiply
    6,234,688x = 13,416,320 × 13,416,320
  4. Step 4: Simplify right side
    6,234,688x = 179,997,642,342,400
  5. Step 5: Solve for x
    x = 179,997,642,342,400/6,234,688
  6. Step 6: Final answer
    x = 28,870,352.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.