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Finding the Third Proportional to 319,607,494,567 and 695,478,797,273

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Solution

The third proportional to 319,607,494,567 and 695,478,797,273 is: 1,513,389,910,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,607,494,567 : 695,478,797,273 = 695,478,797,273 : x
  2. Step 2: Convert to fraction form
    319,607,494,567/695,478,797,273 = 695,478,797,273/x
  3. Step 3: Cross multiply
    319,607,494,567x = 695,478,797,273 × 695,478,797,273
  4. Step 4: Simplify right side
    319,607,494,567x = 483,690,757,456,298,627,825,664
  5. Step 5: Solve for x
    x = 483,690,757,456,298,627,825,664/319,607,494,567
  6. Step 6: Final answer
    x = 1,513,389,910,057.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.