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Finding the Third Proportional to 10,625,828,661 and 23,253,339,687

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Solution

The third proportional to 10,625,828,661 and 23,253,339,687 is: 50,887,118,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625,828,661 : 23,253,339,687 = 23,253,339,687 : x
  2. Step 2: Convert to fraction form
    10,625,828,661/23,253,339,687 = 23,253,339,687/x
  3. Step 3: Cross multiply
    10,625,828,661x = 23,253,339,687 × 23,253,339,687
  4. Step 4: Simplify right side
    10,625,828,661x = 540,717,806,599,009,271,808
  5. Step 5: Solve for x
    x = 540,717,806,599,009,271,808/10,625,828,661
  6. Step 6: Final answer
    x = 50,887,118,910.89

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Why These Related Problems?

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