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Finding the Third Proportional to 8,278,244,773 and 12,414,326,730

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Solution

The third proportional to 8,278,244,773 and 12,414,326,730 is: 18,616,930,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278,244,773 : 12,414,326,730 = 12,414,326,730 : x
  2. Step 2: Convert to fraction form
    8,278,244,773/12,414,326,730 = 12,414,326,730/x
  3. Step 3: Cross multiply
    8,278,244,773x = 12,414,326,730 × 12,414,326,730
  4. Step 4: Simplify right side
    8,278,244,773x = 154,115,508,159,192,498,176
  5. Step 5: Solve for x
    x = 154,115,508,159,192,498,176/8,278,244,773
  6. Step 6: Final answer
    x = 18,616,930,567.44

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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.