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Finding the Third Proportional to 4,998,681,064 and 10,749,646,387

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Solution

The third proportional to 4,998,681,064 and 10,749,646,387 is: 23,117,077,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998,681,064 : 10,749,646,387 = 10,749,646,387 : x
  2. Step 2: Convert to fraction form
    4,998,681,064/10,749,646,387 = 10,749,646,387/x
  3. Step 3: Cross multiply
    4,998,681,064x = 10,749,646,387 × 10,749,646,387
  4. Step 4: Simplify right side
    4,998,681,064x = 115,554,897,445,542,150,144
  5. Step 5: Solve for x
    x = 115,554,897,445,542,150,144/4,998,681,064
  6. Step 6: Final answer
    x = 23,117,077,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.