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Finding the Third Proportional to 35,033,324.25 and 81,853,655.63

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Solution

The third proportional to 35,033,324.25 and 81,853,655.63 is: 191,247,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033,324.25 : 81,853,655.63 = 81,853,655.63 : x
  2. Step 2: Convert to fraction form
    35,033,324.25/81,853,655.63 = 81,853,655.63/x
  3. Step 3: Cross multiply
    35,033,324.25x = 81,853,655.63 × 81,853,655.63
  4. Step 4: Simplify right side
    35,033,324.25x = 6,700,020,939,176,094
  5. Step 5: Solve for x
    x = 6,700,020,939,176,094/35,033,324.25
  6. Step 6: Final answer
    x = 191,247,079.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.