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Finding the Third Proportional to 3,300,893,922 and 4,938,270,144

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Solution

The third proportional to 3,300,893,922 and 4,938,270,144 is: 7,387,850,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300,893,922 : 4,938,270,144 = 4,938,270,144 : x
  2. Step 2: Convert to fraction form
    3,300,893,922/4,938,270,144 = 4,938,270,144/x
  3. Step 3: Cross multiply
    3,300,893,922x = 4,938,270,144 × 4,938,270,144
  4. Step 4: Simplify right side
    3,300,893,922x = 24,386,512,015,121,780,736
  5. Step 5: Solve for x
    x = 24,386,512,015,121,780,736/3,300,893,922
  6. Step 6: Final answer
    x = 7,387,850,864.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.