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Finding the Third Proportional to 10,768,762 and 23,051,235

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Solution

The third proportional to 10,768,762 and 23,051,235 is: 49,342,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,762 : 23,051,235 = 23,051,235 : x
  2. Step 2: Convert to fraction form
    10,768,762/23,051,235 = 23,051,235/x
  3. Step 3: Cross multiply
    10,768,762x = 23,051,235 × 23,051,235
  4. Step 4: Simplify right side
    10,768,762x = 531,359,435,025,225
  5. Step 5: Solve for x
    x = 531,359,435,025,225/10,768,762
  6. Step 6: Final answer
    x = 49,342,666.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.