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Finding the Third Proportional to 3,808,988,508,340 and 8,223,904,314,920

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Solution

The third proportional to 3,808,988,508,340 and 8,223,904,314,920 is: 17,756,053,092,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808,988,508,340 : 8,223,904,314,920 = 8,223,904,314,920 : x
  2. Step 2: Convert to fraction form
    3,808,988,508,340/8,223,904,314,920 = 8,223,904,314,920/x
  3. Step 3: Cross multiply
    3,808,988,508,340x = 8,223,904,314,920 × 8,223,904,314,920
  4. Step 4: Simplify right side
    3,808,988,508,340x = 67,632,602,180,959,795,356,368,896
  5. Step 5: Solve for x
    x = 67,632,602,180,959,795,356,368,896/3,808,988,508,340
  6. Step 6: Final answer
    x = 17,756,053,092,014.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.