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Finding the Third Proportional to 10,596,122.16 and 22,886,197.31

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Solution

The third proportional to 10,596,122.16 and 22,886,197.31 is: 49,431,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,122.16 : 22,886,197.31 = 22,886,197.31 : x
  2. Step 2: Convert to fraction form
    10,596,122.16/22,886,197.31 = 22,886,197.31/x
  3. Step 3: Cross multiply
    10,596,122.16x = 22,886,197.31 × 22,886,197.31
  4. Step 4: Simplify right side
    10,596,122.16x = 523,778,027,426,682.25
  5. Step 5: Solve for x
    x = 523,778,027,426,682.25/10,596,122.16
  6. Step 6: Final answer
    x = 49,431,105.05

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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.