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Finding the Third Proportional to 5,673,102 and 8,515,457

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Solution

The third proportional to 5,673,102 and 8,515,457 is: 12,781,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673,102 : 8,515,457 = 8,515,457 : x
  2. Step 2: Convert to fraction form
    5,673,102/8,515,457 = 8,515,457/x
  3. Step 3: Cross multiply
    5,673,102x = 8,515,457 × 8,515,457
  4. Step 4: Simplify right side
    5,673,102x = 72,513,007,918,849
  5. Step 5: Solve for x
    x = 72,513,007,918,849/5,673,102
  6. Step 6: Final answer
    x = 12,781,897.44

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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.