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Finding the Third Proportional to 14,302,136,106 and 30,790,074,843

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Solution

The third proportional to 14,302,136,106 and 30,790,074,843 is: 66,285,812,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302,136,106 : 30,790,074,843 = 30,790,074,843 : x
  2. Step 2: Convert to fraction form
    14,302,136,106/30,790,074,843 = 30,790,074,843/x
  3. Step 3: Cross multiply
    14,302,136,106x = 30,790,074,843 × 30,790,074,843
  4. Step 4: Simplify right side
    14,302,136,106x = 948,028,708,837,541,412,864
  5. Step 5: Solve for x
    x = 948,028,708,837,541,412,864/14,302,136,106
  6. Step 6: Final answer
    x = 66,285,812,259.88

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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.