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Finding the Third Proportional to 30,545,724,624 and 65,759,786,826

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Solution

The third proportional to 30,545,724,624 and 65,759,786,826 is: 141,569,716,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545,724,624 : 65,759,786,826 = 65,759,786,826 : x
  2. Step 2: Convert to fraction form
    30,545,724,624/65,759,786,826 = 65,759,786,826/x
  3. Step 3: Cross multiply
    30,545,724,624x = 65,759,786,826 × 65,759,786,826
  4. Step 4: Simplify right side
    30,545,724,624x = 4,324,349,563,400,962,965,504
  5. Step 5: Solve for x
    x = 4,324,349,563,400,962,965,504/30,545,724,624
  6. Step 6: Final answer
    x = 141,569,716,110.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.