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Finding the Third Proportional to 10,768,116 and 23,049,564

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Solution

The third proportional to 10,768,116 and 23,049,564 is: 49,338,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,116 : 23,049,564 = 23,049,564 : x
  2. Step 2: Convert to fraction form
    10,768,116/23,049,564 = 23,049,564/x
  3. Step 3: Cross multiply
    10,768,116x = 23,049,564 × 23,049,564
  4. Step 4: Simplify right side
    10,768,116x = 531,282,400,590,096
  5. Step 5: Solve for x
    x = 531,282,400,590,096/10,768,116
  6. Step 6: Final answer
    x = 49,338,473.01

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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.