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Finding the Third Proportional to 918,864,470 and 2,016,263,956

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Solution

The third proportional to 918,864,470 and 2,016,263,956 is: 4,424,287,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,864,470 : 2,016,263,956 = 2,016,263,956 : x
  2. Step 2: Convert to fraction form
    918,864,470/2,016,263,956 = 2,016,263,956/x
  3. Step 3: Cross multiply
    918,864,470x = 2,016,263,956 × 2,016,263,956
  4. Step 4: Simplify right side
    918,864,470x = 4,065,320,340,264,770,048
  5. Step 5: Solve for x
    x = 4,065,320,340,264,770,048/918,864,470
  6. Step 6: Final answer
    x = 4,424,287,229.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.