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Finding the Third Proportional to 10,933,290,786 and 16,328,291,283

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Solution

The third proportional to 10,933,290,786 and 16,328,291,283 is: 24,385,439,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933,290,786 : 16,328,291,283 = 16,328,291,283 : x
  2. Step 2: Convert to fraction form
    10,933,290,786/16,328,291,283 = 16,328,291,283/x
  3. Step 3: Cross multiply
    10,933,290,786x = 16,328,291,283 × 16,328,291,283
  4. Step 4: Simplify right side
    10,933,290,786x = 266,613,096,222,493,769,728
  5. Step 5: Solve for x
    x = 266,613,096,222,493,769,728/10,933,290,786
  6. Step 6: Final answer
    x = 24,385,439,063.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.