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Finding the Third Proportional to 10,395,971,174.50 and 22,696,980,642.50

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Solution

The third proportional to 10,395,971,174.50 and 22,696,980,642.50 is: 49,553,131,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395,971,174.50 : 22,696,980,642.50 = 22,696,980,642.50 : x
  2. Step 2: Convert to fraction form
    10,395,971,174.50/22,696,980,642.50 = 22,696,980,642.50/x
  3. Step 3: Cross multiply
    10,395,971,174.50x = 22,696,980,642.50 × 22,696,980,642.50
  4. Step 4: Simplify right side
    10,395,971,174.50x = 515,152,930,286,019,739,648
  5. Step 5: Solve for x
    x = 515,152,930,286,019,739,648/10,395,971,174.50
  6. Step 6: Final answer
    x = 49,553,131,846.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.