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Finding the Third Proportional to 5,140,902 and 11,166,786

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Solution

The third proportional to 5,140,902 and 11,166,786 is: 24,255,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140,902 : 11,166,786 = 11,166,786 : x
  2. Step 2: Convert to fraction form
    5,140,902/11,166,786 = 11,166,786/x
  3. Step 3: Cross multiply
    5,140,902x = 11,166,786 × 11,166,786
  4. Step 4: Simplify right side
    5,140,902x = 124,697,109,569,796
  5. Step 5: Solve for x
    x = 124,697,109,569,796/5,140,902
  6. Step 6: Final answer
    x = 24,255,881.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.