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Finding the Third Proportional to 5,389,673,922 and 11,728,402,646

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Solution

The third proportional to 5,389,673,922 and 11,728,402,646 is: 25,522,031,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,673,922 : 11,728,402,646 = 11,728,402,646 : x
  2. Step 2: Convert to fraction form
    5,389,673,922/11,728,402,646 = 11,728,402,646/x
  3. Step 3: Cross multiply
    5,389,673,922x = 11,728,402,646 × 11,728,402,646
  4. Step 4: Simplify right side
    5,389,673,922x = 137,555,428,626,699,796,480
  5. Step 5: Solve for x
    x = 137,555,428,626,699,796,480/5,389,673,922
  6. Step 6: Final answer
    x = 25,522,031,688.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.