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Finding the Third Proportional to 3,074,657,268,216 and 6,612,039,883,080

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Solution

The third proportional to 3,074,657,268,216 and 6,612,039,883,080 is: 14,219,169,033,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,657,268,216 : 6,612,039,883,080 = 6,612,039,883,080 : x
  2. Step 2: Convert to fraction form
    3,074,657,268,216/6,612,039,883,080 = 6,612,039,883,080/x
  3. Step 3: Cross multiply
    3,074,657,268,216x = 6,612,039,883,080 × 6,612,039,883,080
  4. Step 4: Simplify right side
    3,074,657,268,216x = 43,719,071,415,440,582,696,239,104
  5. Step 5: Solve for x
    x = 43,719,071,415,440,582,696,239,104/3,074,657,268,216
  6. Step 6: Final answer
    x = 14,219,169,033,043.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.