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Finding the Third Proportional to 403,812,024,067 and 872,099,054,600

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Solution

The third proportional to 403,812,024,067 and 872,099,054,600 is: 1,883,442,581,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812,024,067 : 872,099,054,600 = 872,099,054,600 : x
  2. Step 2: Convert to fraction form
    403,812,024,067/872,099,054,600 = 872,099,054,600/x
  3. Step 3: Cross multiply
    403,812,024,067x = 872,099,054,600 × 872,099,054,600
  4. Step 4: Simplify right side
    403,812,024,067x = 760,556,761,034,213,805,785,088
  5. Step 5: Solve for x
    x = 760,556,761,034,213,805,785,088/403,812,024,067
  6. Step 6: Final answer
    x = 1,883,442,581,462.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.