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Finding the Third Proportional to 6,462,496 and 13,593,536

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Solution

The third proportional to 6,462,496 and 13,593,536 is: 28,593,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462,496 : 13,593,536 = 13,593,536 : x
  2. Step 2: Convert to fraction form
    6,462,496/13,593,536 = 13,593,536/x
  3. Step 3: Cross multiply
    6,462,496x = 13,593,536 × 13,593,536
  4. Step 4: Simplify right side
    6,462,496x = 184,784,220,983,296
  5. Step 5: Solve for x
    x = 184,784,220,983,296/6,462,496
  6. Step 6: Final answer
    x = 28,593,320.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.