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Finding the Third Proportional to 29,458,512 and 64,016,144

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Solution

The third proportional to 29,458,512 and 64,016,144 is: 139,113,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458,512 : 64,016,144 = 64,016,144 : x
  2. Step 2: Convert to fraction form
    29,458,512/64,016,144 = 64,016,144/x
  3. Step 3: Cross multiply
    29,458,512x = 64,016,144 × 64,016,144
  4. Step 4: Simplify right side
    29,458,512x = 4,098,066,692,628,736
  5. Step 5: Solve for x
    x = 4,098,066,692,628,736/29,458,512
  6. Step 6: Final answer
    x = 139,113,159.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.