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Finding the Third Proportional to 10,768,764 and 23,051,239

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Solution

The third proportional to 10,768,764 and 23,051,239 is: 49,342,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,764 : 23,051,239 = 23,051,239 : x
  2. Step 2: Convert to fraction form
    10,768,764/23,051,239 = 23,051,239/x
  3. Step 3: Cross multiply
    10,768,764x = 23,051,239 × 23,051,239
  4. Step 4: Simplify right side
    10,768,764x = 531,359,619,435,121
  5. Step 5: Solve for x
    x = 531,359,619,435,121/10,768,764
  6. Step 6: Final answer
    x = 49,342,674.74

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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.