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Finding the Third Proportional to 70,360,416 and 107,633,232

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Solution

The third proportional to 70,360,416 and 107,633,232 is: 164,650,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,360,416 : 107,633,232 = 107,633,232 : x
  2. Step 2: Convert to fraction form
    70,360,416/107,633,232 = 107,633,232/x
  3. Step 3: Cross multiply
    70,360,416x = 107,633,232 × 107,633,232
  4. Step 4: Simplify right side
    70,360,416x = 11,584,912,630,765,824
  5. Step 5: Solve for x
    x = 11,584,912,630,765,824/70,360,416
  6. Step 6: Final answer
    x = 164,650,996.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.