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Finding the Third Proportional to 1,432,056,408 and 2,139,265,089

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Solution

The third proportional to 1,432,056,408 and 2,139,265,089 is: 3,195,722,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,056,408 : 2,139,265,089 = 2,139,265,089 : x
  2. Step 2: Convert to fraction form
    1,432,056,408/2,139,265,089 = 2,139,265,089/x
  3. Step 3: Cross multiply
    1,432,056,408x = 2,139,265,089 × 2,139,265,089
  4. Step 4: Simplify right side
    1,432,056,408x = 4,576,455,121,014,177,792
  5. Step 5: Solve for x
    x = 4,576,455,121,014,177,792/1,432,056,408
  6. Step 6: Final answer
    x = 3,195,722,665.29

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Why These Related Problems?

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