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Finding the Third Proportional to 20,165,512 and 30,995,844

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Solution

The third proportional to 20,165,512 and 30,995,844 is: 47,642,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165,512 : 30,995,844 = 30,995,844 : x
  2. Step 2: Convert to fraction form
    20,165,512/30,995,844 = 30,995,844/x
  3. Step 3: Cross multiply
    20,165,512x = 30,995,844 × 30,995,844
  4. Step 4: Simplify right side
    20,165,512x = 960,742,345,272,336
  5. Step 5: Solve for x
    x = 960,742,345,272,336/20,165,512
  6. Step 6: Final answer
    x = 47,642,844.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.