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Finding the Third Proportional to 816,233,165.16 and 1,666,726,232.06

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Solution

The third proportional to 816,233,165.16 and 1,666,726,232.06 is: 3,403,410,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,233,165.16 : 1,666,726,232.06 = 1,666,726,232.06 : x
  2. Step 2: Convert to fraction form
    816,233,165.16/1,666,726,232.06 = 1,666,726,232.06/x
  3. Step 3: Cross multiply
    816,233,165.16x = 1,666,726,232.06 × 1,666,726,232.06
  4. Step 4: Simplify right side
    816,233,165.16x = 2,777,976,332,645,258,752
  5. Step 5: Solve for x
    x = 2,777,976,332,645,258,752/816,233,165.16
  6. Step 6: Final answer
    x = 3,403,410,264.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.