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Finding the Third Proportional to 10,330,356 and 22,520,758.13

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Solution

The third proportional to 10,330,356 and 22,520,758.13 is: 49,096,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330,356 : 22,520,758.13 = 22,520,758.13 : x
  2. Step 2: Convert to fraction form
    10,330,356/22,520,758.13 = 22,520,758.13/x
  3. Step 3: Cross multiply
    10,330,356x = 22,520,758.13 × 22,520,758.13
  4. Step 4: Simplify right side
    10,330,356x = 507,184,546,524,753.50
  5. Step 5: Solve for x
    x = 507,184,546,524,753.50/10,330,356
  6. Step 6: Final answer
    x = 49,096,521.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.