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Finding the Third Proportional to 9,686,823,496.50 and 15,162,524,462

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Solution

The third proportional to 9,686,823,496.50 and 15,162,524,462 is: 23,733,492,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,823,496.50 : 15,162,524,462 = 15,162,524,462 : x
  2. Step 2: Convert to fraction form
    9,686,823,496.50/15,162,524,462 = 15,162,524,462/x
  3. Step 3: Cross multiply
    9,686,823,496.50x = 15,162,524,462 × 15,162,524,462
  4. Step 4: Simplify right side
    9,686,823,496.50x = 229,902,148,060,748,382,208
  5. Step 5: Solve for x
    x = 229,902,148,060,748,382,208/9,686,823,496.50
  6. Step 6: Final answer
    x = 23,733,492,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.