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Finding the Third Proportional to 29,566,978,303,806 and 43,464,769,736,805

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Solution

The third proportional to 29,566,978,303,806 and 43,464,769,736,805 is: 63,895,139,667,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566,978,303,806 : 43,464,769,736,805 = 43,464,769,736,805 : x
  2. Step 2: Convert to fraction form
    29,566,978,303,806/43,464,769,736,805 = 43,464,769,736,805/x
  3. Step 3: Cross multiply
    29,566,978,303,806x = 43,464,769,736,805 × 43,464,769,736,805
  4. Step 4: Simplify right side
    29,566,978,303,806x = 1,889,186,208,273,479,685,667,553,280
  5. Step 5: Solve for x
    x = 1,889,186,208,273,479,685,667,553,280/29,566,978,303,806
  6. Step 6: Final answer
    x = 63,895,139,667,697.96

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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.