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Finding the Third Proportional to 29,948,761.88 and 46,004,965.31

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Solution

The third proportional to 29,948,761.88 and 46,004,965.31 is: 70,669,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948,761.88 : 46,004,965.31 = 46,004,965.31 : x
  2. Step 2: Convert to fraction form
    29,948,761.88/46,004,965.31 = 46,004,965.31/x
  3. Step 3: Cross multiply
    29,948,761.88x = 46,004,965.31 × 46,004,965.31
  4. Step 4: Simplify right side
    29,948,761.88x = 2,116,456,833,404,328.25
  5. Step 5: Solve for x
    x = 2,116,456,833,404,328.25/29,948,761.88
  6. Step 6: Final answer
    x = 70,669,259.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.