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Finding the Third Proportional to 5,076,491,751 and 11,133,643,050

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Solution

The third proportional to 5,076,491,751 and 11,133,643,050 is: 24,418,045,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076,491,751 : 11,133,643,050 = 11,133,643,050 : x
  2. Step 2: Convert to fraction form
    5,076,491,751/11,133,643,050 = 11,133,643,050/x
  3. Step 3: Cross multiply
    5,076,491,751x = 11,133,643,050 × 11,133,643,050
  4. Step 4: Simplify right side
    5,076,491,751x = 123,958,007,564,813,303,808
  5. Step 5: Solve for x
    x = 123,958,007,564,813,303,808/5,076,491,751
  6. Step 6: Final answer
    x = 24,418,045,698.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.