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Finding the Third Proportional to 927,691,968 and 1,988,180,160

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Solution

The third proportional to 927,691,968 and 1,988,180,160 is: 4,260,962,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,691,968 : 1,988,180,160 = 1,988,180,160 : x
  2. Step 2: Convert to fraction form
    927,691,968/1,988,180,160 = 1,988,180,160/x
  3. Step 3: Cross multiply
    927,691,968x = 1,988,180,160 × 1,988,180,160
  4. Step 4: Simplify right side
    927,691,968x = 3,952,860,348,617,625,600
  5. Step 5: Solve for x
    x = 3,952,860,348,617,625,600/927,691,968
  6. Step 6: Final answer
    x = 4,260,962,135.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.