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Finding the Third Proportional to 6,478,011 and 14,176,377

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Solution

The third proportional to 6,478,011 and 14,176,377 is: 31,023,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,011 : 14,176,377 = 14,176,377 : x
  2. Step 2: Convert to fraction form
    6,478,011/14,176,377 = 14,176,377/x
  3. Step 3: Cross multiply
    6,478,011x = 14,176,377 × 14,176,377
  4. Step 4: Simplify right side
    6,478,011x = 200,969,664,846,129
  5. Step 5: Solve for x
    x = 200,969,664,846,129/6,478,011
  6. Step 6: Final answer
    x = 31,023,359.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.