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Finding the Third Proportional to 9,468,814 and 20,709,460

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Solution

The third proportional to 9,468,814 and 20,709,460 is: 45,294,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,814 : 20,709,460 = 20,709,460 : x
  2. Step 2: Convert to fraction form
    9,468,814/20,709,460 = 20,709,460/x
  3. Step 3: Cross multiply
    9,468,814x = 20,709,460 × 20,709,460
  4. Step 4: Simplify right side
    9,468,814x = 428,881,733,491,600
  5. Step 5: Solve for x
    x = 428,881,733,491,600/9,468,814
  6. Step 6: Final answer
    x = 45,294,134.35

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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.