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Finding the Third Proportional to 960,989,328 and 2,098,128,384

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Solution

The third proportional to 960,989,328 and 2,098,128,384 is: 4,580,844,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,989,328 : 2,098,128,384 = 2,098,128,384 : x
  2. Step 2: Convert to fraction form
    960,989,328/2,098,128,384 = 2,098,128,384/x
  3. Step 3: Cross multiply
    960,989,328x = 2,098,128,384 × 2,098,128,384
  4. Step 4: Simplify right side
    960,989,328x = 4,402,142,715,746,451,456
  5. Step 5: Solve for x
    x = 4,402,142,715,746,451,456/960,989,328
  6. Step 6: Final answer
    x = 4,580,844,539.56

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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.