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Finding the Third Proportional to 29,566,978,303,791 and 43,464,769,736,782

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Solution

The third proportional to 29,566,978,303,791 and 43,464,769,736,782 is: 63,895,139,667,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566,978,303,791 : 43,464,769,736,782 = 43,464,769,736,782 : x
  2. Step 2: Convert to fraction form
    29,566,978,303,791/43,464,769,736,782 = 43,464,769,736,782/x
  3. Step 3: Cross multiply
    29,566,978,303,791x = 43,464,769,736,782 × 43,464,769,736,782
  4. Step 4: Simplify right side
    29,566,978,303,791x = 1,889,186,208,271,480,498,650,349,568
  5. Step 5: Solve for x
    x = 1,889,186,208,271,480,498,650,349,568/29,566,978,303,791
  6. Step 6: Final answer
    x = 63,895,139,667,662.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.