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Finding the Third Proportional to 14,800,823,914 and 31,960,642,467

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Solution

The third proportional to 14,800,823,914 and 31,960,642,467 is: 69,015,257,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800,823,914 : 31,960,642,467 = 31,960,642,467 : x
  2. Step 2: Convert to fraction form
    14,800,823,914/31,960,642,467 = 31,960,642,467/x
  3. Step 3: Cross multiply
    14,800,823,914x = 31,960,642,467 × 31,960,642,467
  4. Step 4: Simplify right side
    14,800,823,914x = 1,021,482,666,903,403,888,640
  5. Step 5: Solve for x
    x = 1,021,482,666,903,403,888,640/14,800,823,914
  6. Step 6: Final answer
    x = 69,015,257,045.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.