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Finding the Third Proportional to 4,845,941,776 and 10,540,942,400

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Solution

The third proportional to 4,845,941,776 and 10,540,942,400 is: 22,928,766,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,941,776 : 10,540,942,400 = 10,540,942,400 : x
  2. Step 2: Convert to fraction form
    4,845,941,776/10,540,942,400 = 10,540,942,400/x
  3. Step 3: Cross multiply
    4,845,941,776x = 10,540,942,400 × 10,540,942,400
  4. Step 4: Simplify right side
    4,845,941,776x = 111,111,466,680,117,755,904
  5. Step 5: Solve for x
    x = 111,111,466,680,117,755,904/4,845,941,776
  6. Step 6: Final answer
    x = 22,928,766,340.20

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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.