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Finding the Third Proportional to 6,472,053,456,978 and 14,083,449,038,004

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Solution

The third proportional to 6,472,053,456,978 and 14,083,449,038,004 is: 30,646,152,434,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,053,456,978 : 14,083,449,038,004 = 14,083,449,038,004 : x
  2. Step 2: Convert to fraction form
    6,472,053,456,978/14,083,449,038,004 = 14,083,449,038,004/x
  3. Step 3: Cross multiply
    6,472,053,456,978x = 14,083,449,038,004 × 14,083,449,038,004
  4. Step 4: Simplify right side
    6,472,053,456,978x = 198,343,536,806,055,795,639,713,792
  5. Step 5: Solve for x
    x = 198,343,536,806,055,795,639,713,792/6,472,053,456,978
  6. Step 6: Final answer
    x = 30,646,152,434,388.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.