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Finding the Third Proportional to 763,085,850 and 1,652,942,694

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Solution

The third proportional to 763,085,850 and 1,652,942,694 is: 3,580,487,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,085,850 : 1,652,942,694 = 1,652,942,694 : x
  2. Step 2: Convert to fraction form
    763,085,850/1,652,942,694 = 1,652,942,694/x
  3. Step 3: Cross multiply
    763,085,850x = 1,652,942,694 × 1,652,942,694
  4. Step 4: Simplify right side
    763,085,850x = 2,732,219,549,647,977,472
  5. Step 5: Solve for x
    x = 2,732,219,549,647,977,472/763,085,850
  6. Step 6: Final answer
    x = 3,580,487,765.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.