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Finding the Third Proportional to 505,867,732 and 1,171,010,868

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Solution

The third proportional to 505,867,732 and 1,171,010,868 is: 2,710,721,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,867,732 : 1,171,010,868 = 1,171,010,868 : x
  2. Step 2: Convert to fraction form
    505,867,732/1,171,010,868 = 1,171,010,868/x
  3. Step 3: Cross multiply
    505,867,732x = 1,171,010,868 × 1,171,010,868
  4. Step 4: Simplify right side
    505,867,732x = 1,371,266,452,974,113,536
  5. Step 5: Solve for x
    x = 1,371,266,452,974,113,536/505,867,732
  6. Step 6: Final answer
    x = 2,710,721,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.