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Finding the Third Proportional to 3,614,720 and 7,824,536

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Solution

The third proportional to 3,614,720 and 7,824,536 is: 16,937,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614,720 : 7,824,536 = 7,824,536 : x
  2. Step 2: Convert to fraction form
    3,614,720/7,824,536 = 7,824,536/x
  3. Step 3: Cross multiply
    3,614,720x = 7,824,536 × 7,824,536
  4. Step 4: Simplify right side
    3,614,720x = 61,223,363,615,296
  5. Step 5: Solve for x
    x = 61,223,363,615,296/3,614,720
  6. Step 6: Final answer
    x = 16,937,235.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.