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Finding the Third Proportional to 723,754,022.34 and 1,580,236,355.81

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Solution

The third proportional to 723,754,022.34 and 1,580,236,355.81 is: 3,450,270,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,754,022.34 : 1,580,236,355.81 = 1,580,236,355.81 : x
  2. Step 2: Convert to fraction form
    723,754,022.34/1,580,236,355.81 = 1,580,236,355.81/x
  3. Step 3: Cross multiply
    723,754,022.34x = 1,580,236,355.81 × 1,580,236,355.81
  4. Step 4: Simplify right side
    723,754,022.34x = 2,497,146,940,231,569,920
  5. Step 5: Solve for x
    x = 2,497,146,940,231,569,920/723,754,022.34
  6. Step 6: Final answer
    x = 3,450,270,206.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.