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Finding the Third Proportional to 29,933,796 and 64,657,608

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Solution

The third proportional to 29,933,796 and 64,657,608 is: 139,661,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933,796 : 64,657,608 = 64,657,608 : x
  2. Step 2: Convert to fraction form
    29,933,796/64,657,608 = 64,657,608/x
  3. Step 3: Cross multiply
    29,933,796x = 64,657,608 × 64,657,608
  4. Step 4: Simplify right side
    29,933,796x = 4,180,606,272,281,664
  5. Step 5: Solve for x
    x = 4,180,606,272,281,664/29,933,796
  6. Step 6: Final answer
    x = 139,661,747.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.