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Finding the Third Proportional to 548,086,369.50 and 1,125,228,461.63

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Solution

The third proportional to 548,086,369.50 and 1,125,228,461.63 is: 2,310,108,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,086,369.50 : 1,125,228,461.63 = 1,125,228,461.63 : x
  2. Step 2: Convert to fraction form
    548,086,369.50/1,125,228,461.63 = 1,125,228,461.63/x
  3. Step 3: Cross multiply
    548,086,369.50x = 1,125,228,461.63 × 1,125,228,461.63
  4. Step 4: Simplify right side
    548,086,369.50x = 1,266,139,090,850,964,224
  5. Step 5: Solve for x
    x = 1,266,139,090,850,964,224/548,086,369.50
  6. Step 6: Final answer
    x = 2,310,108,700.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.