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Finding the Third Proportional to 3,754,863,274 and 7,818,736,026

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Solution

The third proportional to 3,754,863,274 and 7,818,736,026 is: 16,280,921,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754,863,274 : 7,818,736,026 = 7,818,736,026 : x
  2. Step 2: Convert to fraction form
    3,754,863,274/7,818,736,026 = 7,818,736,026/x
  3. Step 3: Cross multiply
    3,754,863,274x = 7,818,736,026 × 7,818,736,026
  4. Step 4: Simplify right side
    3,754,863,274x = 61,132,633,044,270,276,608
  5. Step 5: Solve for x
    x = 61,132,633,044,270,276,608/3,754,863,274
  6. Step 6: Final answer
    x = 16,280,921,190.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.