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Finding the Third Proportional to 3,098,835 and 4,809,907.13

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Solution

The third proportional to 3,098,835 and 4,809,907.13 is: 7,465,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,835 : 4,809,907.13 = 4,809,907.13 : x
  2. Step 2: Convert to fraction form
    3,098,835/4,809,907.13 = 4,809,907.13/x
  3. Step 3: Cross multiply
    3,098,835x = 4,809,907.13 × 4,809,907.13
  4. Step 4: Simplify right side
    3,098,835x = 23,135,206,551,125.77
  5. Step 5: Solve for x
    x = 23,135,206,551,125.77/3,098,835
  6. Step 6: Final answer
    x = 7,465,775.54

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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.