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Finding the Third Proportional to 7,492,156,487,010 and 11,921,493,809,952

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Solution

The third proportional to 7,492,156,487,010 and 11,921,493,809,952 is: 18,969,440,228,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492,156,487,010 : 11,921,493,809,952 = 11,921,493,809,952 : x
  2. Step 2: Convert to fraction form
    7,492,156,487,010/11,921,493,809,952 = 11,921,493,809,952/x
  3. Step 3: Cross multiply
    7,492,156,487,010x = 11,921,493,809,952 × 11,921,493,809,952
  4. Step 4: Simplify right side
    7,492,156,487,010x = 142,122,014,660,723,859,334,889,472
  5. Step 5: Solve for x
    x = 142,122,014,660,723,859,334,889,472/7,492,156,487,010
  6. Step 6: Final answer
    x = 18,969,440,228,208.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.