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Finding the Third Proportional to 6,514,410 and 14,313,696

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Solution

The third proportional to 6,514,410 and 14,313,696 is: 31,450,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,410 : 14,313,696 = 14,313,696 : x
  2. Step 2: Convert to fraction form
    6,514,410/14,313,696 = 14,313,696/x
  3. Step 3: Cross multiply
    6,514,410x = 14,313,696 × 14,313,696
  4. Step 4: Simplify right side
    6,514,410x = 204,881,893,180,416
  5. Step 5: Solve for x
    x = 204,881,893,180,416/6,514,410
  6. Step 6: Final answer
    x = 31,450,567.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.