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Finding the Third Proportional to 34,141,305.94 and 51,213,051.56

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Solution

The third proportional to 34,141,305.94 and 51,213,051.56 is: 76,821,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141,305.94 : 51,213,051.56 = 51,213,051.56 : x
  2. Step 2: Convert to fraction form
    34,141,305.94/51,213,051.56 = 51,213,051.56/x
  3. Step 3: Cross multiply
    34,141,305.94x = 51,213,051.56 × 51,213,051.56
  4. Step 4: Simplify right side
    34,141,305.94x = 2,622,776,650,343,283.50
  5. Step 5: Solve for x
    x = 2,622,776,650,343,283.50/34,141,305.94
  6. Step 6: Final answer
    x = 76,821,216.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.