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Finding the Third Proportional to 12,187,866,874 and 17,163,202,297

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Solution

The third proportional to 12,187,866,874 and 17,163,202,297 is: 24,169,570,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,866,874 : 17,163,202,297 = 17,163,202,297 : x
  2. Step 2: Convert to fraction form
    12,187,866,874/17,163,202,297 = 17,163,202,297/x
  3. Step 3: Cross multiply
    12,187,866,874x = 17,163,202,297 × 17,163,202,297
  4. Step 4: Simplify right side
    12,187,866,874x = 294,575,513,087,746,080,768
  5. Step 5: Solve for x
    x = 294,575,513,087,746,080,768/12,187,866,874
  6. Step 6: Final answer
    x = 24,169,570,945.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.