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Finding the Third Proportional to 10,294,467 and 22,184,487

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Solution

The third proportional to 10,294,467 and 22,184,487 is: 47,807,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,467 : 22,184,487 = 22,184,487 : x
  2. Step 2: Convert to fraction form
    10,294,467/22,184,487 = 22,184,487/x
  3. Step 3: Cross multiply
    10,294,467x = 22,184,487 × 22,184,487
  4. Step 4: Simplify right side
    10,294,467x = 492,151,463,453,169
  5. Step 5: Solve for x
    x = 492,151,463,453,169/10,294,467
  6. Step 6: Final answer
    x = 47,807,376.86

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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.