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Finding the Third Proportional to 269,031,087 and 559,533,591

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Solution

The third proportional to 269,031,087 and 559,533,591 is: 1,163,723,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,031,087 : 559,533,591 = 559,533,591 : x
  2. Step 2: Convert to fraction form
    269,031,087/559,533,591 = 559,533,591/x
  3. Step 3: Cross multiply
    269,031,087x = 559,533,591 × 559,533,591
  4. Step 4: Simplify right side
    269,031,087x = 313,077,839,457,355,264
  5. Step 5: Solve for x
    x = 313,077,839,457,355,264/269,031,087
  6. Step 6: Final answer
    x = 1,163,723,653.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.