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Finding the Third Proportional to 7,113,034,399,012 and 9,597,153,505,908

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Solution

The third proportional to 7,113,034,399,012 and 9,597,153,505,908 is: 12,948,813,438,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113,034,399,012 : 9,597,153,505,908 = 9,597,153,505,908 : x
  2. Step 2: Convert to fraction form
    7,113,034,399,012/9,597,153,505,908 = 9,597,153,505,908/x
  3. Step 3: Cross multiply
    7,113,034,399,012x = 9,597,153,505,908 × 9,597,153,505,908
  4. Step 4: Simplify right side
    7,113,034,399,012x = 92,105,355,415,962,208,350,240,768
  5. Step 5: Solve for x
    x = 92,105,355,415,962,208,350,240,768/7,113,034,399,012
  6. Step 6: Final answer
    x = 12,948,813,438,714.09

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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.