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Finding the Third Proportional to 1,308,776,154 and 2,863,826,328

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Solution

The third proportional to 1,308,776,154 and 2,863,826,328 is: 6,266,542,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,776,154 : 2,863,826,328 = 2,863,826,328 : x
  2. Step 2: Convert to fraction form
    1,308,776,154/2,863,826,328 = 2,863,826,328/x
  3. Step 3: Cross multiply
    1,308,776,154x = 2,863,826,328 × 2,863,826,328
  4. Step 4: Simplify right side
    1,308,776,154x = 8,201,501,236,945,964,032
  5. Step 5: Solve for x
    x = 8,201,501,236,945,964,032/1,308,776,154
  6. Step 6: Final answer
    x = 6,266,542,381.51

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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.