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Finding the Third Proportional to 9,468,924 and 20,709,714

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Solution

The third proportional to 9,468,924 and 20,709,714 is: 45,294,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,924 : 20,709,714 = 20,709,714 : x
  2. Step 2: Convert to fraction form
    9,468,924/20,709,714 = 20,709,714/x
  3. Step 3: Cross multiply
    9,468,924x = 20,709,714 × 20,709,714
  4. Step 4: Simplify right side
    9,468,924x = 428,892,253,961,796
  5. Step 5: Solve for x
    x = 428,892,253,961,796/9,468,924
  6. Step 6: Final answer
    x = 45,294,719.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.