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Finding the Third Proportional to 10,219,872 and 22,254,144

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Solution

The third proportional to 10,219,872 and 22,254,144 is: 48,459,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,872 : 22,254,144 = 22,254,144 : x
  2. Step 2: Convert to fraction form
    10,219,872/22,254,144 = 22,254,144/x
  3. Step 3: Cross multiply
    10,219,872x = 22,254,144 × 22,254,144
  4. Step 4: Simplify right side
    10,219,872x = 495,246,925,172,736
  5. Step 5: Solve for x
    x = 495,246,925,172,736/10,219,872
  6. Step 6: Final answer
    x = 48,459,210.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.