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Finding the Third Proportional to 4,691,608,002 and 6,884,035,740

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Solution

The third proportional to 4,691,608,002 and 6,884,035,740 is: 10,101,003,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691,608,002 : 6,884,035,740 = 6,884,035,740 : x
  2. Step 2: Convert to fraction form
    4,691,608,002/6,884,035,740 = 6,884,035,740/x
  3. Step 3: Cross multiply
    4,691,608,002x = 6,884,035,740 × 6,884,035,740
  4. Step 4: Simplify right side
    4,691,608,002x = 47,389,948,069,597,347,840
  5. Step 5: Solve for x
    x = 47,389,948,069,597,347,840/4,691,608,002
  6. Step 6: Final answer
    x = 10,101,003,333.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.