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Finding the Third Proportional to 6,472,053,456,970 and 14,083,449,037,988

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Solution

The third proportional to 6,472,053,456,970 and 14,083,449,037,988 is: 30,646,152,434,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,053,456,970 : 14,083,449,037,988 = 14,083,449,037,988 : x
  2. Step 2: Convert to fraction form
    6,472,053,456,970/14,083,449,037,988 = 14,083,449,037,988/x
  3. Step 3: Cross multiply
    6,472,053,456,970x = 14,083,449,037,988 × 14,083,449,037,988
  4. Step 4: Simplify right side
    6,472,053,456,970x = 198,343,536,805,605,133,311,279,104
  5. Step 5: Solve for x
    x = 198,343,536,805,605,133,311,279,104/6,472,053,456,970
  6. Step 6: Final answer
    x = 30,646,152,434,356.28

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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.