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Finding the Third Proportional to 46,995,261.75 and 71,843,751.75

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Solution

The third proportional to 46,995,261.75 and 71,843,751.75 is: 109,830,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,995,261.75 : 71,843,751.75 = 71,843,751.75 : x
  2. Step 2: Convert to fraction form
    46,995,261.75/71,843,751.75 = 71,843,751.75/x
  3. Step 3: Cross multiply
    46,995,261.75x = 71,843,751.75 × 71,843,751.75
  4. Step 4: Simplify right side
    46,995,261.75x = 5,161,524,665,515,628
  5. Step 5: Solve for x
    x = 5,161,524,665,515,628/46,995,261.75
  6. Step 6: Final answer
    x = 109,830,746.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.