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Finding the Third Proportional to 47,964,314 and 105,492,376

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Solution

The third proportional to 47,964,314 and 105,492,376 is: 232,019,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,964,314 : 105,492,376 = 105,492,376 : x
  2. Step 2: Convert to fraction form
    47,964,314/105,492,376 = 105,492,376/x
  3. Step 3: Cross multiply
    47,964,314x = 105,492,376 × 105,492,376
  4. Step 4: Simplify right side
    47,964,314x = 11,128,641,394,125,376
  5. Step 5: Solve for x
    x = 11,128,641,394,125,376/47,964,314
  6. Step 6: Final answer
    x = 232,019,192.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.