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Finding the Third Proportional to 571,261,910.50 and 789,354,184.50

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Solution

The third proportional to 571,261,910.50 and 789,354,184.50 is: 1,090,708,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,261,910.50 : 789,354,184.50 = 789,354,184.50 : x
  2. Step 2: Convert to fraction form
    571,261,910.50/789,354,184.50 = 789,354,184.50/x
  3. Step 3: Cross multiply
    571,261,910.50x = 789,354,184.50 × 789,354,184.50
  4. Step 4: Simplify right side
    571,261,910.50x = 623,080,028,587,660,032
  5. Step 5: Solve for x
    x = 623,080,028,587,660,032/571,261,910.50
  6. Step 6: Final answer
    x = 1,090,708,162.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.