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Finding the Third Proportional to 9,686,823,495 and 15,162,524,463

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Solution

The third proportional to 9,686,823,495 and 15,162,524,463 is: 23,733,492,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,823,495 : 15,162,524,463 = 15,162,524,463 : x
  2. Step 2: Convert to fraction form
    9,686,823,495/15,162,524,463 = 15,162,524,463/x
  3. Step 3: Cross multiply
    9,686,823,495x = 15,162,524,463 × 15,162,524,463
  4. Step 4: Simplify right side
    9,686,823,495x = 229,902,148,091,073,429,504
  5. Step 5: Solve for x
    x = 229,902,148,091,073,429,504/9,686,823,495
  6. Step 6: Final answer
    x = 23,733,492,017.25

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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.