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Finding the Third Proportional to 826,603,437 and 1,784,701,515

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Solution

The third proportional to 826,603,437 and 1,784,701,515 is: 3,853,310,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,603,437 : 1,784,701,515 = 1,784,701,515 : x
  2. Step 2: Convert to fraction form
    826,603,437/1,784,701,515 = 1,784,701,515/x
  3. Step 3: Cross multiply
    826,603,437x = 1,784,701,515 × 1,784,701,515
  4. Step 4: Simplify right side
    826,603,437x = 3,185,159,497,643,295,232
  5. Step 5: Solve for x
    x = 3,185,159,497,643,295,232/826,603,437
  6. Step 6: Final answer
    x = 3,853,310,251.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.