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Finding the Third Proportional to 4,790,534 and 10,208,196

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Solution

The third proportional to 4,790,534 and 10,208,196 is: 21,752,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,534 : 10,208,196 = 10,208,196 : x
  2. Step 2: Convert to fraction form
    4,790,534/10,208,196 = 10,208,196/x
  3. Step 3: Cross multiply
    4,790,534x = 10,208,196 × 10,208,196
  4. Step 4: Simplify right side
    4,790,534x = 104,207,265,574,416
  5. Step 5: Solve for x
    x = 104,207,265,574,416/4,790,534
  6. Step 6: Final answer
    x = 21,752,745.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.