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Finding the Third Proportional to 13,105,764 and 20,514,294

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Solution

The third proportional to 13,105,764 and 20,514,294 is: 32,110,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105,764 : 20,514,294 = 20,514,294 : x
  2. Step 2: Convert to fraction form
    13,105,764/20,514,294 = 20,514,294/x
  3. Step 3: Cross multiply
    13,105,764x = 20,514,294 × 20,514,294
  4. Step 4: Simplify right side
    13,105,764x = 420,836,258,318,436
  5. Step 5: Solve for x
    x = 420,836,258,318,436/13,105,764
  6. Step 6: Final answer
    x = 32,110,776.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.