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Finding the Third Proportional to 269,915,510,364 and 562,171,768,116

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Solution

The third proportional to 269,915,510,364 and 562,171,768,116 is: 1,170,874,161,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,915,510,364 : 562,171,768,116 = 562,171,768,116 : x
  2. Step 2: Convert to fraction form
    269,915,510,364/562,171,768,116 = 562,171,768,116/x
  3. Step 3: Cross multiply
    269,915,510,364x = 562,171,768,116 × 562,171,768,116
  4. Step 4: Simplify right side
    269,915,510,364x = 316,037,096,866,669,683,277,824
  5. Step 5: Solve for x
    x = 316,037,096,866,669,683,277,824/269,915,510,364
  6. Step 6: Final answer
    x = 1,170,874,161,475.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.