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Finding the Third Proportional to 12,631,140 and 27,781,704

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Solution

The third proportional to 12,631,140 and 27,781,704 is: 61,104,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631,140 : 27,781,704 = 27,781,704 : x
  2. Step 2: Convert to fraction form
    12,631,140/27,781,704 = 27,781,704/x
  3. Step 3: Cross multiply
    12,631,140x = 27,781,704 × 27,781,704
  4. Step 4: Simplify right side
    12,631,140x = 771,823,077,143,616
  5. Step 5: Solve for x
    x = 771,823,077,143,616/12,631,140
  6. Step 6: Final answer
    x = 61,104,783.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.