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Finding the Third Proportional to 10,750,997,673 and 16,828,247,703

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Solution

The third proportional to 10,750,997,673 and 16,828,247,703 is: 26,340,803,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750,997,673 : 16,828,247,703 = 16,828,247,703 : x
  2. Step 2: Convert to fraction form
    10,750,997,673/16,828,247,703 = 16,828,247,703/x
  3. Step 3: Cross multiply
    10,750,997,673x = 16,828,247,703 × 16,828,247,703
  4. Step 4: Simplify right side
    10,750,997,673x = 283,189,920,753,524,768,768
  5. Step 5: Solve for x
    x = 283,189,920,753,524,768,768/10,750,997,673
  6. Step 6: Final answer
    x = 26,340,803,836.72

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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.