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Finding the Third Proportional to 29,646,274 and 64,241,054

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Solution

The third proportional to 29,646,274 and 64,241,054 is: 139,205,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646,274 : 64,241,054 = 64,241,054 : x
  2. Step 2: Convert to fraction form
    29,646,274/64,241,054 = 64,241,054/x
  3. Step 3: Cross multiply
    29,646,274x = 64,241,054 × 64,241,054
  4. Step 4: Simplify right side
    29,646,274x = 4,126,913,019,030,916
  5. Step 5: Solve for x
    x = 4,126,913,019,030,916/29,646,274
  6. Step 6: Final answer
    x = 139,205,116.27

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Why These Related Problems?

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