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Finding the Third Proportional to 19,902,493.13 and 42,571,608.75

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Solution

The third proportional to 19,902,493.13 and 42,571,608.75 is: 91,061,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902,493.13 : 42,571,608.75 = 42,571,608.75 : x
  2. Step 2: Convert to fraction form
    19,902,493.13/42,571,608.75 = 42,571,608.75/x
  3. Step 3: Cross multiply
    19,902,493.13x = 42,571,608.75 × 42,571,608.75
  4. Step 4: Simplify right side
    19,902,493.13x = 1,812,341,871,563,076.50
  5. Step 5: Solve for x
    x = 1,812,341,871,563,076.50/19,902,493.13
  6. Step 6: Final answer
    x = 91,061,047.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.