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Finding the Third Proportional to 10,294,466 and 22,184,482

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Solution

The third proportional to 10,294,466 and 22,184,482 is: 47,807,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,466 : 22,184,482 = 22,184,482 : x
  2. Step 2: Convert to fraction form
    10,294,466/22,184,482 = 22,184,482/x
  3. Step 3: Cross multiply
    10,294,466x = 22,184,482 × 22,184,482
  4. Step 4: Simplify right side
    10,294,466x = 492,151,241,608,324
  5. Step 5: Solve for x
    x = 492,151,241,608,324/10,294,466
  6. Step 6: Final answer
    x = 47,807,359.96

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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.