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Finding the Third Proportional to 2,056,149,264 and 3,132,433,954

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Solution

The third proportional to 2,056,149,264 and 3,132,433,954 is: 4,772,096,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,149,264 : 3,132,433,954 = 3,132,433,954 : x
  2. Step 2: Convert to fraction form
    2,056,149,264/3,132,433,954 = 3,132,433,954/x
  3. Step 3: Cross multiply
    2,056,149,264x = 3,132,433,954 × 3,132,433,954
  4. Step 4: Simplify right side
    2,056,149,264x = 9,812,142,476,172,075,008
  5. Step 5: Solve for x
    x = 9,812,142,476,172,075,008/2,056,149,264
  6. Step 6: Final answer
    x = 4,772,096,388.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.