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Finding the Third Proportional to 2,063,698,331,869.80 and 4,489,720,493,361.20

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Solution

The third proportional to 2,063,698,331,869.80 and 4,489,720,493,361.20 is: 9,767,701,895,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,698,331,869.80 : 4,489,720,493,361.20 = 4,489,720,493,361.20 : x
  2. Step 2: Convert to fraction form
    2,063,698,331,869.80/4,489,720,493,361.20 = 4,489,720,493,361.20/x
  3. Step 3: Cross multiply
    2,063,698,331,869.80x = 4,489,720,493,361.20 × 4,489,720,493,361.20
  4. Step 4: Simplify right side
    2,063,698,331,869.80x = 20,157,590,108,507,538,829,869,056
  5. Step 5: Solve for x
    x = 20,157,590,108,507,538,829,869,056/2,063,698,331,869.80
  6. Step 6: Final answer
    x = 9,767,701,895,772.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.