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Finding the Third Proportional to 807,065,758,665 and 1,778,637,222,542.20

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Solution

The third proportional to 807,065,758,665 and 1,778,637,222,542.20 is: 3,919,817,357,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,065,758,665 : 1,778,637,222,542.20 = 1,778,637,222,542.20 : x
  2. Step 2: Convert to fraction form
    807,065,758,665/1,778,637,222,542.20 = 1,778,637,222,542.20/x
  3. Step 3: Cross multiply
    807,065,758,665x = 1,778,637,222,542.20 × 1,778,637,222,542.20
  4. Step 4: Simplify right side
    807,065,758,665x = 3,163,550,369,412,631,368,826,880
  5. Step 5: Solve for x
    x = 3,163,550,369,412,631,368,826,880/807,065,758,665
  6. Step 6: Final answer
    x = 3,919,817,357,442.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.