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Finding the Third Proportional to 4,845,198 and 7,057,480.50

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Solution

The third proportional to 4,845,198 and 7,057,480.50 is: 10,279,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,198 : 7,057,480.50 = 7,057,480.50 : x
  2. Step 2: Convert to fraction form
    4,845,198/7,057,480.50 = 7,057,480.50/x
  3. Step 3: Cross multiply
    4,845,198x = 7,057,480.50 × 7,057,480.50
  4. Step 4: Simplify right side
    4,845,198x = 49,808,031,007,880.25
  5. Step 5: Solve for x
    x = 49,808,031,007,880.25/4,845,198
  6. Step 6: Final answer
    x = 10,279,875.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.