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Finding the Third Proportional to 699,451,119 and 1,507,858,692.75

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Solution

The third proportional to 699,451,119 and 1,507,858,692.75 is: 3,250,602,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,451,119 : 1,507,858,692.75 = 1,507,858,692.75 : x
  2. Step 2: Convert to fraction form
    699,451,119/1,507,858,692.75 = 1,507,858,692.75/x
  3. Step 3: Cross multiply
    699,451,119x = 1,507,858,692.75 × 1,507,858,692.75
  4. Step 4: Simplify right side
    699,451,119x = 2,273,637,837,301,739,008
  5. Step 5: Solve for x
    x = 2,273,637,837,301,739,008/699,451,119
  6. Step 6: Final answer
    x = 3,250,602,902.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.