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Finding the Third Proportional to 7,113,034,399,010 and 9,597,153,505,905

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Solution

The third proportional to 7,113,034,399,010 and 9,597,153,505,905 is: 12,948,813,438,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113,034,399,010 : 9,597,153,505,905 = 9,597,153,505,905 : x
  2. Step 2: Convert to fraction form
    7,113,034,399,010/9,597,153,505,905 = 9,597,153,505,905/x
  3. Step 3: Cross multiply
    7,113,034,399,010x = 9,597,153,505,905 × 9,597,153,505,905
  4. Step 4: Simplify right side
    7,113,034,399,010x = 92,105,355,415,904,638,608,605,184
  5. Step 5: Solve for x
    x = 92,105,355,415,904,638,608,605,184/7,113,034,399,010
  6. Step 6: Final answer
    x = 12,948,813,438,709.64

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Why These Related Problems?

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