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Finding the Third Proportional to 3,074,657,269,128 and 6,612,039,885,084

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Solution

The third proportional to 3,074,657,269,128 and 6,612,039,885,084 is: 14,219,169,037,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,657,269,128 : 6,612,039,885,084 = 6,612,039,885,084 : x
  2. Step 2: Convert to fraction form
    3,074,657,269,128/6,612,039,885,084 = 6,612,039,885,084/x
  3. Step 3: Cross multiply
    3,074,657,269,128x = 6,612,039,885,084 × 6,612,039,885,084
  4. Step 4: Simplify right side
    3,074,657,269,128x = 43,719,071,441,941,639,014,121,472
  5. Step 5: Solve for x
    x = 43,719,071,441,941,639,014,121,472/3,074,657,269,128
  6. Step 6: Final answer
    x = 14,219,169,037,445.52

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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.