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Finding the Third Proportional to 1,432,056,412 and 2,139,265,094

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Solution

The third proportional to 1,432,056,412 and 2,139,265,094 is: 3,195,722,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,056,412 : 2,139,265,094 = 2,139,265,094 : x
  2. Step 2: Convert to fraction form
    1,432,056,412/2,139,265,094 = 2,139,265,094/x
  3. Step 3: Cross multiply
    1,432,056,412x = 2,139,265,094 × 2,139,265,094
  4. Step 4: Simplify right side
    1,432,056,412x = 4,576,455,142,406,829,056
  5. Step 5: Solve for x
    x = 4,576,455,142,406,829,056/1,432,056,412
  6. Step 6: Final answer
    x = 3,195,722,671.30

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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.