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Finding the Third Proportional to 846,589,550 and 1,822,917,124

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Solution

The third proportional to 846,589,550 and 1,822,917,124 is: 3,925,192,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,589,550 : 1,822,917,124 = 1,822,917,124 : x
  2. Step 2: Convert to fraction form
    846,589,550/1,822,917,124 = 1,822,917,124/x
  3. Step 3: Cross multiply
    846,589,550x = 1,822,917,124 × 1,822,917,124
  4. Step 4: Simplify right side
    846,589,550x = 3,323,026,840,972,431,360
  5. Step 5: Solve for x
    x = 3,323,026,840,972,431,360/846,589,550
  6. Step 6: Final answer
    x = 3,925,192,368.57

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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.