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Finding the Third Proportional to 59,782,649,468 and 131,750,906,728

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Solution

The third proportional to 59,782,649,468 and 131,750,906,728 is: 290,356,843,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782,649,468 : 131,750,906,728 = 131,750,906,728 : x
  2. Step 2: Convert to fraction form
    59,782,649,468/131,750,906,728 = 131,750,906,728/x
  3. Step 3: Cross multiply
    59,782,649,468x = 131,750,906,728 × 131,750,906,728
  4. Step 4: Simplify right side
    59,782,649,468x = 17,358,301,423,650,155,266,048
  5. Step 5: Solve for x
    x = 17,358,301,423,650,155,266,048/59,782,649,468
  6. Step 6: Final answer
    x = 290,356,843,969.28

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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.