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Finding the Third Proportional to 10,009,228,894.50 and 21,568,545,069

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Solution

The third proportional to 10,009,228,894.50 and 21,568,545,069 is: 46,477,320,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009,228,894.50 : 21,568,545,069 = 21,568,545,069 : x
  2. Step 2: Convert to fraction form
    10,009,228,894.50/21,568,545,069 = 21,568,545,069/x
  3. Step 3: Cross multiply
    10,009,228,894.50x = 21,568,545,069 × 21,568,545,069
  4. Step 4: Simplify right side
    10,009,228,894.50x = 465,202,136,393,484,206,080
  5. Step 5: Solve for x
    x = 465,202,136,393,484,206,080/10,009,228,894.50
  6. Step 6: Final answer
    x = 46,477,320,210.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.