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Finding the Third Proportional to 644,813,430 and 1,399,103,692

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Solution

The third proportional to 644,813,430 and 1,399,103,692 is: 3,035,748,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,813,430 : 1,399,103,692 = 1,399,103,692 : x
  2. Step 2: Convert to fraction form
    644,813,430/1,399,103,692 = 1,399,103,692/x
  3. Step 3: Cross multiply
    644,813,430x = 1,399,103,692 × 1,399,103,692
  4. Step 4: Simplify right side
    644,813,430x = 1,957,491,140,968,030,976
  5. Step 5: Solve for x
    x = 1,957,491,140,968,030,976/644,813,430
  6. Step 6: Final answer
    x = 3,035,748,093.78

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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.