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Finding the Third Proportional to 29,771,481.50 and 64,490,063.50

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Solution

The third proportional to 29,771,481.50 and 64,490,063.50 is: 139,696,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771,481.50 : 64,490,063.50 = 64,490,063.50 : x
  2. Step 2: Convert to fraction form
    29,771,481.50/64,490,063.50 = 64,490,063.50/x
  3. Step 3: Cross multiply
    29,771,481.50x = 64,490,063.50 × 64,490,063.50
  4. Step 4: Simplify right side
    29,771,481.50x = 4,158,968,290,234,032
  5. Step 5: Solve for x
    x = 4,158,968,290,234,032/29,771,481.50
  6. Step 6: Final answer
    x = 139,696,383.27

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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.