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Finding the Third Proportional to 35,033,322.94 and 81,853,652.81

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Solution

The third proportional to 35,033,322.94 and 81,853,652.81 is: 191,247,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033,322.94 : 81,853,652.81 = 81,853,652.81 : x
  2. Step 2: Convert to fraction form
    35,033,322.94/81,853,652.81 = 81,853,652.81/x
  3. Step 3: Cross multiply
    35,033,322.94x = 81,853,652.81 × 81,853,652.81
  4. Step 4: Simplify right side
    35,033,322.94x = 6,700,020,478,749,289
  5. Step 5: Solve for x
    x = 6,700,020,478,749,289/35,033,322.94
  6. Step 6: Final answer
    x = 191,247,073.27

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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.