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Finding the Third Proportional to 9,137,646 and 20,317,776

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Solution

The third proportional to 9,137,646 and 20,317,776 is: 45,177,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,646 : 20,317,776 = 20,317,776 : x
  2. Step 2: Convert to fraction form
    9,137,646/20,317,776 = 20,317,776/x
  3. Step 3: Cross multiply
    9,137,646x = 20,317,776 × 20,317,776
  4. Step 4: Simplify right side
    9,137,646x = 412,812,021,586,176
  5. Step 5: Solve for x
    x = 412,812,021,586,176/9,137,646
  6. Step 6: Final answer
    x = 45,177,064.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.