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Finding the Third Proportional to 545,128,803 and 1,188,920,181

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Solution

The third proportional to 545,128,803 and 1,188,920,181 is: 2,593,022,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,128,803 : 1,188,920,181 = 1,188,920,181 : x
  2. Step 2: Convert to fraction form
    545,128,803/1,188,920,181 = 1,188,920,181/x
  3. Step 3: Cross multiply
    545,128,803x = 1,188,920,181 × 1,188,920,181
  4. Step 4: Simplify right side
    545,128,803x = 1,413,531,196,789,072,640
  5. Step 5: Solve for x
    x = 1,413,531,196,789,072,640/545,128,803
  6. Step 6: Final answer
    x = 2,593,022,399.50

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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.