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Finding the Third Proportional to 1,570,879,337 and 2,342,696,523

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Solution

The third proportional to 1,570,879,337 and 2,342,696,523 is: 3,493,729,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,879,337 : 2,342,696,523 = 2,342,696,523 : x
  2. Step 2: Convert to fraction form
    1,570,879,337/2,342,696,523 = 2,342,696,523/x
  3. Step 3: Cross multiply
    1,570,879,337x = 2,342,696,523 × 2,342,696,523
  4. Step 4: Simplify right side
    1,570,879,337x = 5,488,226,998,876,289,024
  5. Step 5: Solve for x
    x = 5,488,226,998,876,289,024/1,570,879,337
  6. Step 6: Final answer
    x = 3,493,729,193.33

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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.