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Finding the Third Proportional to 9,438,135 and 20,677,029

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Solution

The third proportional to 9,438,135 and 20,677,029 is: 45,299,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438,135 : 20,677,029 = 20,677,029 : x
  2. Step 2: Convert to fraction form
    9,438,135/20,677,029 = 20,677,029/x
  3. Step 3: Cross multiply
    9,438,135x = 20,677,029 × 20,677,029
  4. Step 4: Simplify right side
    9,438,135x = 427,539,528,266,841
  5. Step 5: Solve for x
    x = 427,539,528,266,841/9,438,135
  6. Step 6: Final answer
    x = 45,299,153.73

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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.