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Finding the Third Proportional to 702,905,382 and 1,463,989,743

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Solution

The third proportional to 702,905,382 and 1,463,989,743 is: 3,049,152,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,905,382 : 1,463,989,743 = 1,463,989,743 : x
  2. Step 2: Convert to fraction form
    702,905,382/1,463,989,743 = 1,463,989,743/x
  3. Step 3: Cross multiply
    702,905,382x = 1,463,989,743 × 1,463,989,743
  4. Step 4: Simplify right side
    702,905,382x = 2,143,265,967,609,206,016
  5. Step 5: Solve for x
    x = 2,143,265,967,609,206,016/702,905,382
  6. Step 6: Final answer
    x = 3,049,152,876.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.