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Finding the Third Proportional to 10,219,954 and 22,254,308

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Solution

The third proportional to 10,219,954 and 22,254,308 is: 48,459,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,954 : 22,254,308 = 22,254,308 : x
  2. Step 2: Convert to fraction form
    10,219,954/22,254,308 = 22,254,308/x
  3. Step 3: Cross multiply
    10,219,954x = 22,254,308 × 22,254,308
  4. Step 4: Simplify right side
    10,219,954x = 495,254,224,558,864
  5. Step 5: Solve for x
    x = 495,254,224,558,864/10,219,954
  6. Step 6: Final answer
    x = 48,459,535.59

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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.