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Finding the Third Proportional to 7,808,366,218 and 11,895,509,374

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Solution

The third proportional to 7,808,366,218 and 11,895,509,374 is: 18,121,991,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808,366,218 : 11,895,509,374 = 11,895,509,374 : x
  2. Step 2: Convert to fraction form
    7,808,366,218/11,895,509,374 = 11,895,509,374/x
  3. Step 3: Cross multiply
    7,808,366,218x = 11,895,509,374 × 11,895,509,374
  4. Step 4: Simplify right side
    7,808,366,218x = 141,503,143,266,921,873,408
  5. Step 5: Solve for x
    x = 141,503,143,266,921,873,408/7,808,366,218
  6. Step 6: Final answer
    x = 18,121,991,120.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.