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Finding the Third Proportional to 10,487,257,436 and 22,470,388,420

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Solution

The third proportional to 10,487,257,436 and 22,470,388,420 is: 48,145,891,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487,257,436 : 22,470,388,420 = 22,470,388,420 : x
  2. Step 2: Convert to fraction form
    10,487,257,436/22,470,388,420 = 22,470,388,420/x
  3. Step 3: Cross multiply
    10,487,257,436x = 22,470,388,420 × 22,470,388,420
  4. Step 4: Simplify right side
    10,487,257,436x = 504,918,355,745,670,103,040
  5. Step 5: Solve for x
    x = 504,918,355,745,670,103,040/10,487,257,436
  6. Step 6: Final answer
    x = 48,145,891,223.42

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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.