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Finding the Third Proportional to 14,599,143,754 and 29,972,231,678

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Solution

The third proportional to 14,599,143,754 and 29,972,231,678 is: 61,533,380,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599,143,754 : 29,972,231,678 = 29,972,231,678 : x
  2. Step 2: Convert to fraction form
    14,599,143,754/29,972,231,678 = 29,972,231,678/x
  3. Step 3: Cross multiply
    14,599,143,754x = 29,972,231,678 × 29,972,231,678
  4. Step 4: Simplify right side
    14,599,143,754x = 898,334,671,759,706,685,440
  5. Step 5: Solve for x
    x = 898,334,671,759,706,685,440/14,599,143,754
  6. Step 6: Final answer
    x = 61,533,380,785.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.