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Finding the Third Proportional to 606,384,896,355 and 941,939,011,046.25

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Solution

The third proportional to 606,384,896,355 and 941,939,011,046.25 is: 1,463,178,100,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,384,896,355 : 941,939,011,046.25 = 941,939,011,046.25 : x
  2. Step 2: Convert to fraction form
    606,384,896,355/941,939,011,046.25 = 941,939,011,046.25/x
  3. Step 3: Cross multiply
    606,384,896,355x = 941,939,011,046.25 × 941,939,011,046.25
  4. Step 4: Simplify right side
    606,384,896,355x = 887,249,100,530,787,456,909,312
  5. Step 5: Solve for x
    x = 887,249,100,530,787,456,909,312/606,384,896,355
  6. Step 6: Final answer
    x = 1,463,178,100,022.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.