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Finding the Third Proportional to 6,970,598,458,464 and 14,920,400,317,908

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Solution

The third proportional to 6,970,598,458,464 and 14,920,400,317,908 is: 31,936,762,241,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,598,458,464 : 14,920,400,317,908 = 14,920,400,317,908 : x
  2. Step 2: Convert to fraction form
    6,970,598,458,464/14,920,400,317,908 = 14,920,400,317,908/x
  3. Step 3: Cross multiply
    6,970,598,458,464x = 14,920,400,317,908 × 14,920,400,317,908
  4. Step 4: Simplify right side
    6,970,598,458,464x = 222,618,345,646,629,137,833,525,248
  5. Step 5: Solve for x
    x = 222,618,345,646,629,137,833,525,248/6,970,598,458,464
  6. Step 6: Final answer
    x = 31,936,762,241,169.75

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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.