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Finding the Third Proportional to 721,974,111.75 and 1,582,355,391.75

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Solution

The third proportional to 721,974,111.75 and 1,582,355,391.75 is: 3,468,058,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,974,111.75 : 1,582,355,391.75 = 1,582,355,391.75 : x
  2. Step 2: Convert to fraction form
    721,974,111.75/1,582,355,391.75 = 1,582,355,391.75/x
  3. Step 3: Cross multiply
    721,974,111.75x = 1,582,355,391.75 × 1,582,355,391.75
  4. Step 4: Simplify right side
    721,974,111.75x = 2,503,848,585,800,295,936
  5. Step 5: Solve for x
    x = 2,503,848,585,800,295,936/721,974,111.75
  6. Step 6: Final answer
    x = 3,468,058,681.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.