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Finding the Third Proportional to 10,596,159 and 22,886,271

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Solution

The third proportional to 10,596,159 and 22,886,271 is: 49,431,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,159 : 22,886,271 = 22,886,271 : x
  2. Step 2: Convert to fraction form
    10,596,159/22,886,271 = 22,886,271/x
  3. Step 3: Cross multiply
    10,596,159x = 22,886,271 × 22,886,271
  4. Step 4: Simplify right side
    10,596,159x = 523,781,400,285,441
  5. Step 5: Solve for x
    x = 523,781,400,285,441/10,596,159
  6. Step 6: Final answer
    x = 49,431,251.48

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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.