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Finding the Third Proportional to 220,845,504.38 and 478,496,446.88

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Solution

The third proportional to 220,845,504.38 and 478,496,446.88 is: 1,036,737,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,504.38 : 478,496,446.88 = 478,496,446.88 : x
  2. Step 2: Convert to fraction form
    220,845,504.38/478,496,446.88 = 478,496,446.88/x
  3. Step 3: Cross multiply
    220,845,504.38x = 478,496,446.88 × 478,496,446.88
  4. Step 4: Simplify right side
    220,845,504.38x = 228,958,849,671,999,712
  5. Step 5: Solve for x
    x = 228,958,849,671,999,712/220,845,504.38
  6. Step 6: Final answer
    x = 1,036,737,652.05

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