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Finding the Third Proportional to 3,663,135 and 5,384,946.75

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Solution

The third proportional to 3,663,135 and 5,384,946.75 is: 7,916,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,135 : 5,384,946.75 = 5,384,946.75 : x
  2. Step 2: Convert to fraction form
    3,663,135/5,384,946.75 = 5,384,946.75/x
  3. Step 3: Cross multiply
    3,663,135x = 5,384,946.75 × 5,384,946.75
  4. Step 4: Simplify right side
    3,663,135x = 28,997,651,500,335.56
  5. Step 5: Solve for x
    x = 28,997,651,500,335.56/3,663,135
  6. Step 6: Final answer
    x = 7,916,075.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.