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Finding the Third Proportional to 4,704,534 and 10,205,676

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Solution

The third proportional to 4,704,534 and 10,205,676 is: 22,139,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,534 : 10,205,676 = 10,205,676 : x
  2. Step 2: Convert to fraction form
    4,704,534/10,205,676 = 10,205,676/x
  3. Step 3: Cross multiply
    4,704,534x = 10,205,676 × 10,205,676
  4. Step 4: Simplify right side
    4,704,534x = 104,155,822,616,976
  5. Step 5: Solve for x
    x = 104,155,822,616,976/4,704,534
  6. Step 6: Final answer
    x = 22,139,455.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.