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Finding the Third Proportional to 4,665,251,922 and 10,281,430,788

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Solution

The third proportional to 4,665,251,922 and 10,281,430,788 is: 22,658,544,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,251,922 : 10,281,430,788 = 10,281,430,788 : x
  2. Step 2: Convert to fraction form
    4,665,251,922/10,281,430,788 = 10,281,430,788/x
  3. Step 3: Cross multiply
    4,665,251,922x = 10,281,430,788 × 10,281,430,788
  4. Step 4: Simplify right side
    4,665,251,922x = 105,707,819,048,434,302,976
  5. Step 5: Solve for x
    x = 105,707,819,048,434,302,976/4,665,251,922
  6. Step 6: Final answer
    x = 22,658,544,665.07

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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.