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Finding the Third Proportional to 2,069,496,058.50 and 4,539,651,011

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Solution

The third proportional to 2,069,496,058.50 and 4,539,651,011 is: 9,958,188,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,496,058.50 : 4,539,651,011 = 4,539,651,011 : x
  2. Step 2: Convert to fraction form
    2,069,496,058.50/4,539,651,011 = 4,539,651,011/x
  3. Step 3: Cross multiply
    2,069,496,058.50x = 4,539,651,011 × 4,539,651,011
  4. Step 4: Simplify right side
    2,069,496,058.50x = 20,608,431,301,673,320,448
  5. Step 5: Solve for x
    x = 20,608,431,301,673,320,448/2,069,496,058.50
  6. Step 6: Final answer
    x = 9,958,188,234.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.