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Finding the Third Proportional to 2,616,403,927.50 and 4,021,600,419

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Solution

The third proportional to 2,616,403,927.50 and 4,021,600,419 is: 6,181,488,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,403,927.50 : 4,021,600,419 = 4,021,600,419 : x
  2. Step 2: Convert to fraction form
    2,616,403,927.50/4,021,600,419 = 4,021,600,419/x
  3. Step 3: Cross multiply
    2,616,403,927.50x = 4,021,600,419 × 4,021,600,419
  4. Step 4: Simplify right side
    2,616,403,927.50x = 16,173,269,930,100,975,616
  5. Step 5: Solve for x
    x = 16,173,269,930,100,975,616/2,616,403,927.50
  6. Step 6: Final answer
    x = 6,181,488,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.