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Finding the Third Proportional to 9,105,058,962 and 13,657,588,429.50

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Solution

The third proportional to 9,105,058,962 and 13,657,588,429.50 is: 20,486,382,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105,058,962 : 13,657,588,429.50 = 13,657,588,429.50 : x
  2. Step 2: Convert to fraction form
    9,105,058,962/13,657,588,429.50 = 13,657,588,429.50/x
  3. Step 3: Cross multiply
    9,105,058,962x = 13,657,588,429.50 × 13,657,588,429.50
  4. Step 4: Simplify right side
    9,105,058,962x = 186,529,721,709,612,269,568
  5. Step 5: Solve for x
    x = 186,529,721,709,612,269,568/9,105,058,962
  6. Step 6: Final answer
    x = 20,486,382,624

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.