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Finding the Third Proportional to 524,770,422.19 and 1,214,875,680.19

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Solution

The third proportional to 524,770,422.19 and 1,214,875,680.19 is: 2,812,511,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,422.19 : 1,214,875,680.19 = 1,214,875,680.19 : x
  2. Step 2: Convert to fraction form
    524,770,422.19/1,214,875,680.19 = 1,214,875,680.19/x
  3. Step 3: Cross multiply
    524,770,422.19x = 1,214,875,680.19 × 1,214,875,680.19
  4. Step 4: Simplify right side
    524,770,422.19x = 1,475,922,918,311,040,768
  5. Step 5: Solve for x
    x = 1,475,922,918,311,040,768/524,770,422.19
  6. Step 6: Final answer
    x = 2,812,511,635.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.