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Finding the Third Proportional to 9,606,814 and 20,919,352

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Solution

The third proportional to 9,606,814 and 20,919,352 is: 45,553,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,814 : 20,919,352 = 20,919,352 : x
  2. Step 2: Convert to fraction form
    9,606,814/20,919,352 = 20,919,352/x
  3. Step 3: Cross multiply
    9,606,814x = 20,919,352 × 20,919,352
  4. Step 4: Simplify right side
    9,606,814x = 437,619,288,099,904
  5. Step 5: Solve for x
    x = 437,619,288,099,904/9,606,814
  6. Step 6: Final answer
    x = 45,553,009.36

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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.