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Finding the Third Proportional to 284,369,391,856 and 611,535,399,392

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Solution

The third proportional to 284,369,391,856 and 611,535,399,392 is: 1,315,104,773,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,369,391,856 : 611,535,399,392 = 611,535,399,392 : x
  2. Step 2: Convert to fraction form
    284,369,391,856/611,535,399,392 = 611,535,399,392/x
  3. Step 3: Cross multiply
    284,369,391,856x = 611,535,399,392 × 611,535,399,392
  4. Step 4: Simplify right side
    284,369,391,856x = 373,975,544,709,532,979,560,448
  5. Step 5: Solve for x
    x = 373,975,544,709,532,979,560,448/284,369,391,856
  6. Step 6: Final answer
    x = 1,315,104,773,649.16

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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.