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Finding the Third Proportional to 673,086,259.50 and 1,033,942,906.50

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Solution

The third proportional to 673,086,259.50 and 1,033,942,906.50 is: 1,588,262,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,086,259.50 : 1,033,942,906.50 = 1,033,942,906.50 : x
  2. Step 2: Convert to fraction form
    673,086,259.50/1,033,942,906.50 = 1,033,942,906.50/x
  3. Step 3: Cross multiply
    673,086,259.50x = 1,033,942,906.50 × 1,033,942,906.50
  4. Step 4: Simplify right side
    673,086,259.50x = 1,069,037,933,901,667,712
  5. Step 5: Solve for x
    x = 1,069,037,933,901,667,712/673,086,259.50
  6. Step 6: Final answer
    x = 1,588,262,899.17

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