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Finding the Third Proportional to 55,513,734 and 120,294,732

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Solution

The third proportional to 55,513,734 and 120,294,732 is: 260,671,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,513,734 : 120,294,732 = 120,294,732 : x
  2. Step 2: Convert to fraction form
    55,513,734/120,294,732 = 120,294,732/x
  3. Step 3: Cross multiply
    55,513,734x = 120,294,732 × 120,294,732
  4. Step 4: Simplify right side
    55,513,734x = 14,470,822,546,951,824
  5. Step 5: Solve for x
    x = 14,470,822,546,951,824/55,513,734
  6. Step 6: Final answer
    x = 260,671,035.87

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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.