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Finding the Third Proportional to 34,114,545,834 and 72,961,274,016

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Solution

The third proportional to 34,114,545,834 and 72,961,274,016 is: 156,043,335,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114,545,834 : 72,961,274,016 = 72,961,274,016 : x
  2. Step 2: Convert to fraction form
    34,114,545,834/72,961,274,016 = 72,961,274,016/x
  3. Step 3: Cross multiply
    34,114,545,834x = 72,961,274,016 × 72,961,274,016
  4. Step 4: Simplify right side
    34,114,545,834x = 5,323,347,506,037,837,004,800
  5. Step 5: Solve for x
    x = 5,323,347,506,037,837,004,800/34,114,545,834
  6. Step 6: Final answer
    x = 156,043,335,061.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.