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Finding the Third Proportional to 13,658,738,908 and 30,458,064,488

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Solution

The third proportional to 13,658,738,908 and 30,458,064,488 is: 67,919,424,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658,738,908 : 30,458,064,488 = 30,458,064,488 : x
  2. Step 2: Convert to fraction form
    13,658,738,908/30,458,064,488 = 30,458,064,488/x
  3. Step 3: Cross multiply
    13,658,738,908x = 30,458,064,488 × 30,458,064,488
  4. Step 4: Simplify right side
    13,658,738,908x = 927,693,692,355,166,732,288
  5. Step 5: Solve for x
    x = 927,693,692,355,166,732,288/13,658,738,908
  6. Step 6: Final answer
    x = 67,919,424,963.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.