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Finding the Third Proportional to 6,636,510,560 and 14,219,627,643

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Solution

The third proportional to 6,636,510,560 and 14,219,627,643 is: 30,467,488,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636,510,560 : 14,219,627,643 = 14,219,627,643 : x
  2. Step 2: Convert to fraction form
    6,636,510,560/14,219,627,643 = 14,219,627,643/x
  3. Step 3: Cross multiply
    6,636,510,560x = 14,219,627,643 × 14,219,627,643
  4. Step 4: Simplify right side
    6,636,510,560x = 202,197,810,305,569,751,040
  5. Step 5: Solve for x
    x = 202,197,810,305,569,751,040/6,636,510,560
  6. Step 6: Final answer
    x = 30,467,488,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.