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Finding the Third Proportional to 4,131,769,185 and 8,852,989,491

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Solution

The third proportional to 4,131,769,185 and 8,852,989,491 is: 18,968,974,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131,769,185 : 8,852,989,491 = 8,852,989,491 : x
  2. Step 2: Convert to fraction form
    4,131,769,185/8,852,989,491 = 8,852,989,491/x
  3. Step 3: Cross multiply
    4,131,769,185x = 8,852,989,491 × 8,852,989,491
  4. Step 4: Simplify right side
    4,131,769,185x = 78,375,422,927,756,443,648
  5. Step 5: Solve for x
    x = 78,375,422,927,756,443,648/4,131,769,185
  6. Step 6: Final answer
    x = 18,968,974,165.42

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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.