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Finding the Third Proportional to 15,687,811,329 and 33,613,694,901

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Solution

The third proportional to 15,687,811,329 and 33,613,694,901 is: 72,022,824,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687,811,329 : 33,613,694,901 = 33,613,694,901 : x
  2. Step 2: Convert to fraction form
    15,687,811,329/33,613,694,901 = 33,613,694,901/x
  3. Step 3: Cross multiply
    15,687,811,329x = 33,613,694,901 × 33,613,694,901
  4. Step 4: Simplify right side
    15,687,811,329x = 1,129,880,484,897,513,406,464
  5. Step 5: Solve for x
    x = 1,129,880,484,897,513,406,464/15,687,811,329
  6. Step 6: Final answer
    x = 72,022,824,675.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.