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Finding the Third Proportional to 32,453,720,925 and 70,494,167,214

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Solution

The third proportional to 32,453,720,925 and 70,494,167,214 is: 153,123,508,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453,720,925 : 70,494,167,214 = 70,494,167,214 : x
  2. Step 2: Convert to fraction form
    32,453,720,925/70,494,167,214 = 70,494,167,214/x
  3. Step 3: Cross multiply
    32,453,720,925x = 70,494,167,214 × 70,494,167,214
  4. Step 4: Simplify right side
    32,453,720,925x = 4,969,427,611,195,392,655,360
  5. Step 5: Solve for x
    x = 4,969,427,611,195,392,655,360/32,453,720,925
  6. Step 6: Final answer
    x = 153,123,508,477.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.