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Finding the Third Proportional to 49,014,720 and 81,407,232

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Solution

The third proportional to 49,014,720 and 81,407,232 is: 135,207,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,014,720 : 81,407,232 = 81,407,232 : x
  2. Step 2: Convert to fraction form
    49,014,720/81,407,232 = 81,407,232/x
  3. Step 3: Cross multiply
    49,014,720x = 81,407,232 × 81,407,232
  4. Step 4: Simplify right side
    49,014,720x = 6,627,137,421,901,824
  5. Step 5: Solve for x
    x = 6,627,137,421,901,824/49,014,720
  6. Step 6: Final answer
    x = 135,207,085.18

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.