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Finding the Third Proportional to 32,284,112,876 and 45,443,334,208

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Solution

The third proportional to 32,284,112,876 and 45,443,334,208 is: 63,966,342,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284,112,876 : 45,443,334,208 = 45,443,334,208 : x
  2. Step 2: Convert to fraction form
    32,284,112,876/45,443,334,208 = 45,443,334,208/x
  3. Step 3: Cross multiply
    32,284,112,876x = 45,443,334,208 × 45,443,334,208
  4. Step 4: Simplify right side
    32,284,112,876x = 2,065,096,623,939,982,983,168
  5. Step 5: Solve for x
    x = 2,065,096,623,939,982,983,168/32,284,112,876
  6. Step 6: Final answer
    x = 63,966,342,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.