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Finding the Third Proportional to 5,475,815.16 and 8,512,401.38

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Solution

The third proportional to 5,475,815.16 and 8,512,401.38 is: 13,232,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475,815.16 : 8,512,401.38 = 8,512,401.38 : x
  2. Step 2: Convert to fraction form
    5,475,815.16/8,512,401.38 = 8,512,401.38/x
  3. Step 3: Cross multiply
    5,475,815.16x = 8,512,401.38 × 8,512,401.38
  4. Step 4: Simplify right side
    5,475,815.16x = 72,460,977,169,101.89
  5. Step 5: Solve for x
    x = 72,460,977,169,101.89/5,475,815.16
  6. Step 6: Final answer
    x = 13,232,911.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.