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Finding the Third Proportional to 20,829,298,684 and 45,637,980,866

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Solution

The third proportional to 20,829,298,684 and 45,637,980,866 is: 99,994,979,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829,298,684 : 45,637,980,866 = 45,637,980,866 : x
  2. Step 2: Convert to fraction form
    20,829,298,684/45,637,980,866 = 45,637,980,866/x
  3. Step 3: Cross multiply
    20,829,298,684x = 45,637,980,866 × 45,637,980,866
  4. Step 4: Simplify right side
    20,829,298,684x = 2,082,825,297,525,382,053,888
  5. Step 5: Solve for x
    x = 2,082,825,297,525,382,053,888/20,829,298,684
  6. Step 6: Final answer
    x = 99,994,979,625.76

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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.