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Finding the Third Proportional to 8,319,889,760 and 16,930,345,408

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Solution

The third proportional to 8,319,889,760 and 16,930,345,408 is: 34,451,970,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319,889,760 : 16,930,345,408 = 16,930,345,408 : x
  2. Step 2: Convert to fraction form
    8,319,889,760/16,930,345,408 = 16,930,345,408/x
  3. Step 3: Cross multiply
    8,319,889,760x = 16,930,345,408 × 16,930,345,408
  4. Step 4: Simplify right side
    8,319,889,760x = 286,636,595,634,186,682,368
  5. Step 5: Solve for x
    x = 286,636,595,634,186,682,368/8,319,889,760
  6. Step 6: Final answer
    x = 34,451,970,386.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.