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Finding the Third Proportional to 8,484,992,986 and 17,211,925,034

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Solution

The third proportional to 8,484,992,986 and 17,211,925,034 is: 34,914,626,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484,992,986 : 17,211,925,034 = 17,211,925,034 : x
  2. Step 2: Convert to fraction form
    8,484,992,986/17,211,925,034 = 17,211,925,034/x
  3. Step 3: Cross multiply
    8,484,992,986x = 17,211,925,034 × 17,211,925,034
  4. Step 4: Simplify right side
    8,484,992,986x = 296,250,363,376,035,889,152
  5. Step 5: Solve for x
    x = 296,250,363,376,035,889,152/8,484,992,986
  6. Step 6: Final answer
    x = 34,914,626,784.59

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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.