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Finding the Third Proportional to 952,215,564 and 2,063,334,156

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Solution

The third proportional to 952,215,564 and 2,063,334,156 is: 4,470,991,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,215,564 : 2,063,334,156 = 2,063,334,156 : x
  2. Step 2: Convert to fraction form
    952,215,564/2,063,334,156 = 2,063,334,156/x
  3. Step 3: Cross multiply
    952,215,564x = 2,063,334,156 × 2,063,334,156
  4. Step 4: Simplify right side
    952,215,564x = 4,257,347,839,316,232,192
  5. Step 5: Solve for x
    x = 4,257,347,839,316,232,192/952,215,564
  6. Step 6: Final answer
    x = 4,470,991,653.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.