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Finding the Third Proportional to 6,547,914 and 14,285,232

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Solution

The third proportional to 6,547,914 and 14,285,232 is: 31,165,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547,914 : 14,285,232 = 14,285,232 : x
  2. Step 2: Convert to fraction form
    6,547,914/14,285,232 = 14,285,232/x
  3. Step 3: Cross multiply
    6,547,914x = 14,285,232 × 14,285,232
  4. Step 4: Simplify right side
    6,547,914x = 204,067,853,293,824
  5. Step 5: Solve for x
    x = 204,067,853,293,824/6,547,914
  6. Step 6: Final answer
    x = 31,165,322.77

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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.