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Finding the Third Proportional to 55,513,736 and 120,294,736

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Solution

The third proportional to 55,513,736 and 120,294,736 is: 260,671,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,513,736 : 120,294,736 = 120,294,736 : x
  2. Step 2: Convert to fraction form
    55,513,736/120,294,736 = 120,294,736/x
  3. Step 3: Cross multiply
    55,513,736x = 120,294,736 × 120,294,736
  4. Step 4: Simplify right side
    55,513,736x = 14,470,823,509,309,696
  5. Step 5: Solve for x
    x = 14,470,823,509,309,696/55,513,736
  6. Step 6: Final answer
    x = 260,671,043.82

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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.