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Finding the Third Proportional to 55,584,213 and 120,737,013

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Solution

The third proportional to 55,584,213 and 120,737,013 is: 262,258,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584,213 : 120,737,013 = 120,737,013 : x
  2. Step 2: Convert to fraction form
    55,584,213/120,737,013 = 120,737,013/x
  3. Step 3: Cross multiply
    55,584,213x = 120,737,013 × 120,737,013
  4. Step 4: Simplify right side
    55,584,213x = 14,577,426,308,162,168
  5. Step 5: Solve for x
    x = 14,577,426,308,162,168/55,584,213
  6. Step 6: Final answer
    x = 262,258,391.75

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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.