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Finding the Third Proportional to 17,219,116,566 and 24,623,366,013

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Solution

The third proportional to 17,219,116,566 and 24,623,366,013 is: 35,211,455,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219,116,566 : 24,623,366,013 = 24,623,366,013 : x
  2. Step 2: Convert to fraction form
    17,219,116,566/24,623,366,013 = 24,623,366,013/x
  3. Step 3: Cross multiply
    17,219,116,566x = 24,623,366,013 × 24,623,366,013
  4. Step 4: Simplify right side
    17,219,116,566x = 606,310,153,810,163,531,776
  5. Step 5: Solve for x
    x = 606,310,153,810,163,531,776/17,219,116,566
  6. Step 6: Final answer
    x = 35,211,455,331.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.