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Finding the Third Proportional to 8,355,473,523 and 12,500,082,378

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Solution

The third proportional to 8,355,473,523 and 12,500,082,378 is: 18,700,563,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355,473,523 : 12,500,082,378 = 12,500,082,378 : x
  2. Step 2: Convert to fraction form
    8,355,473,523/12,500,082,378 = 12,500,082,378/x
  3. Step 3: Cross multiply
    8,355,473,523x = 12,500,082,378 × 12,500,082,378
  4. Step 4: Simplify right side
    8,355,473,523x = 156,252,059,456,786,137,088
  5. Step 5: Solve for x
    x = 156,252,059,456,786,137,088/8,355,473,523
  6. Step 6: Final answer
    x = 18,700,563,053.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.