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Finding the Third Proportional to 6,943,744 and 10,513,536

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Solution

The third proportional to 6,943,744 and 10,513,536 is: 15,918,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943,744 : 10,513,536 = 10,513,536 : x
  2. Step 2: Convert to fraction form
    6,943,744/10,513,536 = 10,513,536/x
  3. Step 3: Cross multiply
    6,943,744x = 10,513,536 × 10,513,536
  4. Step 4: Simplify right side
    6,943,744x = 110,534,439,223,296
  5. Step 5: Solve for x
    x = 110,534,439,223,296/6,943,744
  6. Step 6: Final answer
    x = 15,918,564.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.