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Finding the Third Proportional to 960,989,238 and 2,098,128,192

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Solution

The third proportional to 960,989,238 and 2,098,128,192 is: 4,580,844,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,989,238 : 2,098,128,192 = 2,098,128,192 : x
  2. Step 2: Convert to fraction form
    960,989,238/2,098,128,192 = 2,098,128,192/x
  3. Step 3: Cross multiply
    960,989,238x = 2,098,128,192 × 2,098,128,192
  4. Step 4: Simplify right side
    960,989,238x = 4,402,141,910,065,188,864
  5. Step 5: Solve for x
    x = 4,402,141,910,065,188,864/960,989,238
  6. Step 6: Final answer
    x = 4,580,844,130.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.