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Finding the Third Proportional to 19,772,067,005 and 29,841,973,762

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Solution

The third proportional to 19,772,067,005 and 29,841,973,762 is: 45,040,480,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772,067,005 : 29,841,973,762 = 29,841,973,762 : x
  2. Step 2: Convert to fraction form
    19,772,067,005/29,841,973,762 = 29,841,973,762/x
  3. Step 3: Cross multiply
    19,772,067,005x = 29,841,973,762 × 29,841,973,762
  4. Step 4: Simplify right side
    19,772,067,005x = 890,543,398,011,896,463,360
  5. Step 5: Solve for x
    x = 890,543,398,011,896,463,360/19,772,067,005
  6. Step 6: Final answer
    x = 45,040,480,481.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.