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Finding the Third Proportional to 5,632,902 and 12,163,689

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Solution

The third proportional to 5,632,902 and 12,163,689 is: 26,266,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632,902 : 12,163,689 = 12,163,689 : x
  2. Step 2: Convert to fraction form
    5,632,902/12,163,689 = 12,163,689/x
  3. Step 3: Cross multiply
    5,632,902x = 12,163,689 × 12,163,689
  4. Step 4: Simplify right side
    5,632,902x = 147,955,330,088,721
  5. Step 5: Solve for x
    x = 147,955,330,088,721/5,632,902
  6. Step 6: Final answer
    x = 26,266,270.94

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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.