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Finding the Third Proportional to 5,389,673,920 and 11,728,402,642

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Solution

The third proportional to 5,389,673,920 and 11,728,402,642 is: 25,522,031,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,673,920 : 11,728,402,642 = 11,728,402,642 : x
  2. Step 2: Convert to fraction form
    5,389,673,920/11,728,402,642 = 11,728,402,642/x
  3. Step 3: Cross multiply
    5,389,673,920x = 11,728,402,642 × 11,728,402,642
  4. Step 4: Simplify right side
    5,389,673,920x = 137,555,428,532,872,577,024
  5. Step 5: Solve for x
    x = 137,555,428,532,872,577,024/5,389,673,920
  6. Step 6: Final answer
    x = 25,522,031,680.33

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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.