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Finding the Third Proportional to 552,507,309 and 828,558,087

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Solution

The third proportional to 552,507,309 and 828,558,087 is: 1,242,532,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,507,309 : 828,558,087 = 828,558,087 : x
  2. Step 2: Convert to fraction form
    552,507,309/828,558,087 = 828,558,087/x
  3. Step 3: Cross multiply
    552,507,309x = 828,558,087 × 828,558,087
  4. Step 4: Simplify right side
    552,507,309x = 686,508,503,533,099,520
  5. Step 5: Solve for x
    x = 686,508,503,533,099,520/552,507,309
  6. Step 6: Final answer
    x = 1,242,532,890.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.