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Finding the Third Proportional to 960,989,232 and 2,098,128,188

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Solution

The third proportional to 960,989,232 and 2,098,128,188 is: 4,580,844,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,989,232 : 2,098,128,188 = 2,098,128,188 : x
  2. Step 2: Convert to fraction form
    960,989,232/2,098,128,188 = 2,098,128,188/x
  3. Step 3: Cross multiply
    960,989,232x = 2,098,128,188 × 2,098,128,188
  4. Step 4: Simplify right side
    960,989,232x = 4,402,141,893,280,163,328
  5. Step 5: Solve for x
    x = 4,402,141,893,280,163,328/960,989,232
  6. Step 6: Final answer
    x = 4,580,844,141.32

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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.