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Finding the Third Proportional to 982,082,078 and 2,127,626,276

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Solution

The third proportional to 982,082,078 and 2,127,626,276 is: 4,609,384,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,082,078 : 2,127,626,276 = 2,127,626,276 : x
  2. Step 2: Convert to fraction form
    982,082,078/2,127,626,276 = 2,127,626,276/x
  3. Step 3: Cross multiply
    982,082,078x = 2,127,626,276 × 2,127,626,276
  4. Step 4: Simplify right side
    982,082,078x = 4,526,793,570,325,628,416
  5. Step 5: Solve for x
    x = 4,526,793,570,325,628,416/982,082,078
  6. Step 6: Final answer
    x = 4,609,384,156.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.