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Finding the Third Proportional to 3,384,268,686,824 and 7,433,386,074,280

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Solution

The third proportional to 3,384,268,686,824 and 7,433,386,074,280 is: 16,327,080,868,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,268,686,824 : 7,433,386,074,280 = 7,433,386,074,280 : x
  2. Step 2: Convert to fraction form
    3,384,268,686,824/7,433,386,074,280 = 7,433,386,074,280/x
  3. Step 3: Cross multiply
    3,384,268,686,824x = 7,433,386,074,280 × 7,433,386,074,280
  4. Step 4: Simplify right side
    3,384,268,686,824x = 55,255,228,529,299,832,008,867,840
  5. Step 5: Solve for x
    x = 55,255,228,529,299,832,008,867,840/3,384,268,686,824
  6. Step 6: Final answer
    x = 16,327,080,868,143.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.