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Finding the Third Proportional to 10,144,680 and 20,643,647

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Solution

The third proportional to 10,144,680 and 20,643,647 is: 42,008,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,680 : 20,643,647 = 20,643,647 : x
  2. Step 2: Convert to fraction form
    10,144,680/20,643,647 = 20,643,647/x
  3. Step 3: Cross multiply
    10,144,680x = 20,643,647 × 20,643,647
  4. Step 4: Simplify right side
    10,144,680x = 426,160,161,460,609
  5. Step 5: Solve for x
    x = 426,160,161,460,609/10,144,680
  6. Step 6: Final answer
    x = 42,008,240.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.