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Finding the Third Proportional to 6,134,967 and 13,285,377

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Solution

The third proportional to 6,134,967 and 13,285,377 is: 28,769,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134,967 : 13,285,377 = 13,285,377 : x
  2. Step 2: Convert to fraction form
    6,134,967/13,285,377 = 13,285,377/x
  3. Step 3: Cross multiply
    6,134,967x = 13,285,377 × 13,285,377
  4. Step 4: Simplify right side
    6,134,967x = 176,501,242,032,129
  5. Step 5: Solve for x
    x = 176,501,242,032,129/6,134,967
  6. Step 6: Final answer
    x = 28,769,713.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.