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Finding the Third Proportional to 589,096,887 and 1,281,622,878

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Solution

The third proportional to 589,096,887 and 1,281,622,878 is: 2,788,263,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,096,887 : 1,281,622,878 = 1,281,622,878 : x
  2. Step 2: Convert to fraction form
    589,096,887/1,281,622,878 = 1,281,622,878/x
  3. Step 3: Cross multiply
    589,096,887x = 1,281,622,878 × 1,281,622,878
  4. Step 4: Simplify right side
    589,096,887x = 1,642,557,201,413,003,008
  5. Step 5: Solve for x
    x = 1,642,557,201,413,003,008/589,096,887
  6. Step 6: Final answer
    x = 2,788,263,251.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.