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Finding the Third Proportional to 10,596,674 and 22,887,176

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Solution

The third proportional to 10,596,674 and 22,887,176 is: 49,432,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,674 : 22,887,176 = 22,887,176 : x
  2. Step 2: Convert to fraction form
    10,596,674/22,887,176 = 22,887,176/x
  3. Step 3: Cross multiply
    10,596,674x = 22,887,176 × 22,887,176
  4. Step 4: Simplify right side
    10,596,674x = 523,822,825,254,976
  5. Step 5: Solve for x
    x = 523,822,825,254,976/10,596,674
  6. Step 6: Final answer
    x = 49,432,758.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.