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Finding the Third Proportional to 29,607,733 and 66,023,291

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Solution

The third proportional to 29,607,733 and 66,023,291 is: 147,227,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,607,733 : 66,023,291 = 66,023,291 : x
  2. Step 2: Convert to fraction form
    29,607,733/66,023,291 = 66,023,291/x
  3. Step 3: Cross multiply
    29,607,733x = 66,023,291 × 66,023,291
  4. Step 4: Simplify right side
    29,607,733x = 4,359,074,954,470,681
  5. Step 5: Solve for x
    x = 4,359,074,954,470,681/29,607,733
  6. Step 6: Final answer
    x = 147,227,582.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.