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Finding the Third Proportional to 10,525,048 and 22,674,308

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Solution

The third proportional to 10,525,048 and 22,674,308 is: 48,847,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525,048 : 22,674,308 = 22,674,308 : x
  2. Step 2: Convert to fraction form
    10,525,048/22,674,308 = 22,674,308/x
  3. Step 3: Cross multiply
    10,525,048x = 22,674,308 × 22,674,308
  4. Step 4: Simplify right side
    10,525,048x = 514,124,243,278,864
  5. Step 5: Solve for x
    x = 514,124,243,278,864/10,525,048
  6. Step 6: Final answer
    x = 48,847,686.33

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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.