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Finding the Third Proportional to 4,676,356.13 and 10,048,907.25

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Solution

The third proportional to 4,676,356.13 and 10,048,907.25 is: 21,593,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,356.13 : 10,048,907.25 = 10,048,907.25 : x
  2. Step 2: Convert to fraction form
    4,676,356.13/10,048,907.25 = 10,048,907.25/x
  3. Step 3: Cross multiply
    4,676,356.13x = 10,048,907.25 × 10,048,907.25
  4. Step 4: Simplify right side
    4,676,356.13x = 100,980,536,919,102.56
  5. Step 5: Solve for x
    x = 100,980,536,919,102.56/4,676,356.13
  6. Step 6: Final answer
    x = 21,593,850.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.