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Finding the Third Proportional to 403,311,208.22 and 867,913,638.19

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Solution

The third proportional to 403,311,208.22 and 867,913,638.19 is: 1,867,724,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,311,208.22 : 867,913,638.19 = 867,913,638.19 : x
  2. Step 2: Convert to fraction form
    403,311,208.22/867,913,638.19 = 867,913,638.19/x
  3. Step 3: Cross multiply
    403,311,208.22x = 867,913,638.19 × 867,913,638.19
  4. Step 4: Simplify right side
    403,311,208.22x = 753,274,083,351,862,656
  5. Step 5: Solve for x
    x = 753,274,083,351,862,656/403,311,208.22
  6. Step 6: Final answer
    x = 1,867,724,149.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.