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Finding the Third Proportional to 222,555,624 and 478,019,376

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Solution

The third proportional to 222,555,624 and 478,019,376 is: 1,026,720,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,555,624 : 478,019,376 = 478,019,376 : x
  2. Step 2: Convert to fraction form
    222,555,624/478,019,376 = 478,019,376/x
  3. Step 3: Cross multiply
    222,555,624x = 478,019,376 × 478,019,376
  4. Step 4: Simplify right side
    222,555,624x = 228,502,523,831,429,376
  5. Step 5: Solve for x
    x = 228,502,523,831,429,376/222,555,624
  6. Step 6: Final answer
    x = 1,026,720,959.57

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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.