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Finding the Third Proportional to 5,921,468 and 12,913,832

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Solution

The third proportional to 5,921,468 and 12,913,832 is: 28,163,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,468 : 12,913,832 = 12,913,832 : x
  2. Step 2: Convert to fraction form
    5,921,468/12,913,832 = 12,913,832/x
  3. Step 3: Cross multiply
    5,921,468x = 12,913,832 × 12,913,832
  4. Step 4: Simplify right side
    5,921,468x = 166,767,056,924,224
  5. Step 5: Solve for x
    x = 166,767,056,924,224/5,921,468
  6. Step 6: Final answer
    x = 28,163,127.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.