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Finding the Third Proportional to 10,487,257,434 and 22,470,388,416

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Solution

The third proportional to 10,487,257,434 and 22,470,388,416 is: 48,145,891,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487,257,434 : 22,470,388,416 = 22,470,388,416 : x
  2. Step 2: Convert to fraction form
    10,487,257,434/22,470,388,416 = 22,470,388,416/x
  3. Step 3: Cross multiply
    10,487,257,434x = 22,470,388,416 × 22,470,388,416
  4. Step 4: Simplify right side
    10,487,257,434x = 504,918,355,565,907,017,728
  5. Step 5: Solve for x
    x = 504,918,355,565,907,017,728/10,487,257,434
  6. Step 6: Final answer
    x = 48,145,891,215.46

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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.