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Finding the Third Proportional to 738,585,612 and 1,599,734,592

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Solution

The third proportional to 738,585,612 and 1,599,734,592 is: 3,464,934,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,585,612 : 1,599,734,592 = 1,599,734,592 : x
  2. Step 2: Convert to fraction form
    738,585,612/1,599,734,592 = 1,599,734,592/x
  3. Step 3: Cross multiply
    738,585,612x = 1,599,734,592 × 1,599,734,592
  4. Step 4: Simplify right side
    738,585,612x = 2,559,150,764,841,406,464
  5. Step 5: Solve for x
    x = 2,559,150,764,841,406,464/738,585,612
  6. Step 6: Final answer
    x = 3,464,934,495.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.