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Finding the Third Proportional to 10,476,823,801.50 and 22,981,983,255

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Solution

The third proportional to 10,476,823,801.50 and 22,981,983,255 is: 50,413,327,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476,823,801.50 : 22,981,983,255 = 22,981,983,255 : x
  2. Step 2: Convert to fraction form
    10,476,823,801.50/22,981,983,255 = 22,981,983,255/x
  3. Step 3: Cross multiply
    10,476,823,801.50x = 22,981,983,255 × 22,981,983,255
  4. Step 4: Simplify right side
    10,476,823,801.50x = 528,171,554,333,100,408,832
  5. Step 5: Solve for x
    x = 528,171,554,333,100,408,832/10,476,823,801.50
  6. Step 6: Final answer
    x = 50,413,327,964.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.