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Finding the Third Proportional to 545,119,351.50 and 1,188,901,441.50

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Solution

The third proportional to 545,119,351.50 and 1,188,901,441.50 is: 2,592,985,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,119,351.50 : 1,188,901,441.50 = 1,188,901,441.50 : x
  2. Step 2: Convert to fraction form
    545,119,351.50/1,188,901,441.50 = 1,188,901,441.50/x
  3. Step 3: Cross multiply
    545,119,351.50x = 1,188,901,441.50 × 1,188,901,441.50
  4. Step 4: Simplify right side
    545,119,351.50x = 1,413,486,637,600,777,984
  5. Step 5: Solve for x
    x = 1,413,486,637,600,777,984/545,119,351.50
  6. Step 6: Final answer
    x = 2,592,985,616.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.