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Finding the Third Proportional to 988,446,759 and 2,166,795,102

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Solution

The third proportional to 988,446,759 and 2,166,795,102 is: 4,749,877,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,446,759 : 2,166,795,102 = 2,166,795,102 : x
  2. Step 2: Convert to fraction form
    988,446,759/2,166,795,102 = 2,166,795,102/x
  3. Step 3: Cross multiply
    988,446,759x = 2,166,795,102 × 2,166,795,102
  4. Step 4: Simplify right side
    988,446,759x = 4,695,001,014,051,190,784
  5. Step 5: Solve for x
    x = 4,695,001,014,051,190,784/988,446,759
  6. Step 6: Final answer
    x = 4,749,877,493.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.