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Finding the Third Proportional to 1,232,310,378 and 2,740,147,761

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Solution

The third proportional to 1,232,310,378 and 2,740,147,761 is: 6,092,953,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,310,378 : 2,740,147,761 = 2,740,147,761 : x
  2. Step 2: Convert to fraction form
    1,232,310,378/2,740,147,761 = 2,740,147,761/x
  3. Step 3: Cross multiply
    1,232,310,378x = 2,740,147,761 × 2,740,147,761
  4. Step 4: Simplify right side
    1,232,310,378x = 7,508,409,752,113,312,768
  5. Step 5: Solve for x
    x = 7,508,409,752,113,312,768/1,232,310,378
  6. Step 6: Final answer
    x = 6,092,953,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.