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Finding the Third Proportional to 7,113,034,399,006 and 9,597,153,505,899

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Solution

The third proportional to 7,113,034,399,006 and 9,597,153,505,899 is: 12,948,813,438,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113,034,399,006 : 9,597,153,505,899 = 9,597,153,505,899 : x
  2. Step 2: Convert to fraction form
    7,113,034,399,006/9,597,153,505,899 = 9,597,153,505,899/x
  3. Step 3: Cross multiply
    7,113,034,399,006x = 9,597,153,505,899 × 9,597,153,505,899
  4. Step 4: Simplify right side
    7,113,034,399,006x = 92,105,355,415,789,464,765,595,648
  5. Step 5: Solve for x
    x = 92,105,355,415,789,464,765,595,648/7,113,034,399,006
  6. Step 6: Final answer
    x = 12,948,813,438,700.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.