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Finding the Third Proportional to 591,420,439.13 and 1,261,999,444.50

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Solution

The third proportional to 591,420,439.13 and 1,261,999,444.50 is: 2,692,910,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,420,439.13 : 1,261,999,444.50 = 1,261,999,444.50 : x
  2. Step 2: Convert to fraction form
    591,420,439.13/1,261,999,444.50 = 1,261,999,444.50/x
  3. Step 3: Cross multiply
    591,420,439.13x = 1,261,999,444.50 × 1,261,999,444.50
  4. Step 4: Simplify right side
    591,420,439.13x = 1,592,642,597,918,308,608
  5. Step 5: Solve for x
    x = 1,592,642,597,918,308,608/591,420,439.13
  6. Step 6: Final answer
    x = 2,692,910,986.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.