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Finding the Third Proportional to 729,295,546.78 and 1,569,202,230.23

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Solution

The third proportional to 729,295,546.78 and 1,569,202,230.23 is: 3,376,402,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,295,546.78 : 1,569,202,230.23 = 1,569,202,230.23 : x
  2. Step 2: Convert to fraction form
    729,295,546.78/1,569,202,230.23 = 1,569,202,230.23/x
  3. Step 3: Cross multiply
    729,295,546.78x = 1,569,202,230.23 × 1,569,202,230.23
  4. Step 4: Simplify right side
    729,295,546.78x = 2,462,395,639,372,615,168
  5. Step 5: Solve for x
    x = 2,462,395,639,372,615,168/729,295,546.78
  6. Step 6: Final answer
    x = 3,376,402,955.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.