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Finding the Third Proportional to 7,746,992,703.75 and 16,571,039,168.25

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Solution

The third proportional to 7,746,992,703.75 and 16,571,039,168.25 is: 35,445,927,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746,992,703.75 : 16,571,039,168.25 = 16,571,039,168.25 : x
  2. Step 2: Convert to fraction form
    7,746,992,703.75/16,571,039,168.25 = 16,571,039,168.25/x
  3. Step 3: Cross multiply
    7,746,992,703.75x = 16,571,039,168.25 × 16,571,039,168.25
  4. Step 4: Simplify right side
    7,746,992,703.75x = 274,599,339,115,675,648,000
  5. Step 5: Solve for x
    x = 274,599,339,115,675,648,000/7,746,992,703.75
  6. Step 6: Final answer
    x = 35,445,927,163.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.