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Finding the Third Proportional to 1,432,056,404 and 2,139,265,083

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Solution

The third proportional to 1,432,056,404 and 2,139,265,083 is: 3,195,722,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,056,404 : 2,139,265,083 = 2,139,265,083 : x
  2. Step 2: Convert to fraction form
    1,432,056,404/2,139,265,083 = 2,139,265,083/x
  3. Step 3: Cross multiply
    1,432,056,404x = 2,139,265,083 × 2,139,265,083
  4. Step 4: Simplify right side
    1,432,056,404x = 4,576,455,095,342,996,992
  5. Step 5: Solve for x
    x = 4,576,455,095,342,996,992/1,432,056,404
  6. Step 6: Final answer
    x = 3,195,722,656.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.