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Finding the Third Proportional to 220,845,538.13 and 478,496,509.31

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Solution

The third proportional to 220,845,538.13 and 478,496,509.31 is: 1,036,737,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,538.13 : 478,496,509.31 = 478,496,509.31 : x
  2. Step 2: Convert to fraction form
    220,845,538.13/478,496,509.31 = 478,496,509.31/x
  3. Step 3: Cross multiply
    220,845,538.13x = 478,496,509.31 × 478,496,509.31
  4. Step 4: Simplify right side
    220,845,538.13x = 228,958,909,424,247,392
  5. Step 5: Solve for x
    x = 228,958,909,424,247,392/220,845,538.13
  6. Step 6: Final answer
    x = 1,036,737,764.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.