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Finding the Third Proportional to 364,061,709 and 802,330,788.38

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Solution

The third proportional to 364,061,709 and 802,330,788.38 is: 1,768,202,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,061,709 : 802,330,788.38 = 802,330,788.38 : x
  2. Step 2: Convert to fraction form
    364,061,709/802,330,788.38 = 802,330,788.38/x
  3. Step 3: Cross multiply
    364,061,709x = 802,330,788.38 × 802,330,788.38
  4. Step 4: Simplify right side
    364,061,709x = 643,734,693,974,449,024
  5. Step 5: Solve for x
    x = 643,734,693,974,449,024/364,061,709
  6. Step 6: Final answer
    x = 1,768,202,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.