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Finding the Third Proportional to 6,393,346 and 13,693,566

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Solution

The third proportional to 6,393,346 and 13,693,566 is: 29,329,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,346 : 13,693,566 = 13,693,566 : x
  2. Step 2: Convert to fraction form
    6,393,346/13,693,566 = 13,693,566/x
  3. Step 3: Cross multiply
    6,393,346x = 13,693,566 × 13,693,566
  4. Step 4: Simplify right side
    6,393,346x = 187,513,749,796,356
  5. Step 5: Solve for x
    x = 187,513,749,796,356/6,393,346
  6. Step 6: Final answer
    x = 29,329,516.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.