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Finding the Third Proportional to 967,046,705,194 and 2,069,940,491,669

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Solution

The third proportional to 967,046,705,194 and 2,069,940,491,669 is: 4,430,658,432,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,046,705,194 : 2,069,940,491,669 = 2,069,940,491,669 : x
  2. Step 2: Convert to fraction form
    967,046,705,194/2,069,940,491,669 = 2,069,940,491,669/x
  3. Step 3: Cross multiply
    967,046,705,194x = 2,069,940,491,669 × 2,069,940,491,669
  4. Step 4: Simplify right side
    967,046,705,194x = 4,284,653,639,050,901,216,821,248
  5. Step 5: Solve for x
    x = 4,284,653,639,050,901,216,821,248/967,046,705,194
  6. Step 6: Final answer
    x = 4,430,658,432,563.87

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Why These Related Problems?

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