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Finding the Third Proportional to 39,958,167,907,180 and 63,581,300,282,420

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Solution

The third proportional to 39,958,167,907,180 and 63,581,300,282,420 is: 101,170,347,824,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,958,167,907,180 : 63,581,300,282,420 = 63,581,300,282,420 : x
  2. Step 2: Convert to fraction form
    39,958,167,907,180/63,581,300,282,420 = 63,581,300,282,420/x
  3. Step 3: Cross multiply
    39,958,167,907,180x = 63,581,300,282,420 × 63,581,300,282,420
  4. Step 4: Simplify right side
    39,958,167,907,180x = 4,042,581,745,603,261,535,377,948,672
  5. Step 5: Solve for x
    x = 4,042,581,745,603,261,535,377,948,672/39,958,167,907,180
  6. Step 6: Final answer
    x = 101,170,347,824,602.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.