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Finding the Third Proportional to 9,897,759 and 20,700,495

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Solution

The third proportional to 9,897,759 and 20,700,495 is: 43,293,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897,759 : 20,700,495 = 20,700,495 : x
  2. Step 2: Convert to fraction form
    9,897,759/20,700,495 = 20,700,495/x
  3. Step 3: Cross multiply
    9,897,759x = 20,700,495 × 20,700,495
  4. Step 4: Simplify right side
    9,897,759x = 428,510,493,245,025
  5. Step 5: Solve for x
    x = 428,510,493,245,025/9,897,759
  6. Step 6: Final answer
    x = 43,293,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.