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Finding the Third Proportional to 74,705,718,673 and 161,315,448,716

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Solution

The third proportional to 74,705,718,673 and 161,315,448,716 is: 348,335,769,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,705,718,673 : 161,315,448,716 = 161,315,448,716 : x
  2. Step 2: Convert to fraction form
    74,705,718,673/161,315,448,716 = 161,315,448,716/x
  3. Step 3: Cross multiply
    74,705,718,673x = 161,315,448,716 × 161,315,448,716
  4. Step 4: Simplify right side
    74,705,718,673x = 26,022,673,994,444,426,969,088
  5. Step 5: Solve for x
    x = 26,022,673,994,444,426,969,088/74,705,718,673
  6. Step 6: Final answer
    x = 348,335,769,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.