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Finding the Third Proportional to 673,086,268.50 and 1,033,942,918.50

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Solution

The third proportional to 673,086,268.50 and 1,033,942,918.50 is: 1,588,262,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,086,268.50 : 1,033,942,918.50 = 1,033,942,918.50 : x
  2. Step 2: Convert to fraction form
    673,086,268.50/1,033,942,918.50 = 1,033,942,918.50/x
  3. Step 3: Cross multiply
    673,086,268.50x = 1,033,942,918.50 × 1,033,942,918.50
  4. Step 4: Simplify right side
    673,086,268.50x = 1,069,037,958,716,297,600
  5. Step 5: Solve for x
    x = 1,069,037,958,716,297,600/673,086,268.50
  6. Step 6: Final answer
    x = 1,588,262,914.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.