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Finding the Third Proportional to 284,162,516,832 and 631,859,285,184

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Solution

The third proportional to 284,162,516,832 and 631,859,285,184 is: 1,404,992,328,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,162,516,832 : 631,859,285,184 = 631,859,285,184 : x
  2. Step 2: Convert to fraction form
    284,162,516,832/631,859,285,184 = 631,859,285,184/x
  3. Step 3: Cross multiply
    284,162,516,832x = 631,859,285,184 × 631,859,285,184
  4. Step 4: Simplify right side
    284,162,516,832x = 399,246,156,273,235,443,843,072
  5. Step 5: Solve for x
    x = 399,246,156,273,235,443,843,072/284,162,516,832
  6. Step 6: Final answer
    x = 1,404,992,328,771.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.