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Finding the Third Proportional to 19,292,028,822 and 40,169,468,838

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Solution

The third proportional to 19,292,028,822 and 40,169,468,838 is: 83,640,048,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292,028,822 : 40,169,468,838 = 40,169,468,838 : x
  2. Step 2: Convert to fraction form
    19,292,028,822/40,169,468,838 = 40,169,468,838/x
  3. Step 3: Cross multiply
    19,292,028,822x = 40,169,468,838 × 40,169,468,838
  4. Step 4: Simplify right side
    19,292,028,822x = 1,613,586,226,727,053,164,544
  5. Step 5: Solve for x
    x = 1,613,586,226,727,053,164,544/19,292,028,822
  6. Step 6: Final answer
    x = 83,640,048,520.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.