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Finding the Third Proportional to 10,294,538 and 22,184,632

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Solution

The third proportional to 10,294,538 and 22,184,632 is: 47,807,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,538 : 22,184,632 = 22,184,632 : x
  2. Step 2: Convert to fraction form
    10,294,538/22,184,632 = 22,184,632/x
  3. Step 3: Cross multiply
    10,294,538x = 22,184,632 × 22,184,632
  4. Step 4: Simplify right side
    10,294,538x = 492,157,896,975,424
  5. Step 5: Solve for x
    x = 492,157,896,975,424/10,294,538
  6. Step 6: Final answer
    x = 47,807,672.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.