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Finding the Third Proportional to 32,453,731,373.63 and 70,494,188,328

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Solution

The third proportional to 32,453,731,373.63 and 70,494,188,328 is: 153,123,550,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453,731,373.63 : 70,494,188,328 = 70,494,188,328 : x
  2. Step 2: Convert to fraction form
    32,453,731,373.63/70,494,188,328 = 70,494,188,328/x
  3. Step 3: Cross multiply
    32,453,731,373.63x = 70,494,188,328 × 70,494,188,328
  4. Step 4: Simplify right side
    32,453,731,373.63x = 4,969,430,588,023,531,110,400
  5. Step 5: Solve for x
    x = 4,969,430,588,023,531,110,400/32,453,731,373.63
  6. Step 6: Final answer
    x = 153,123,550,904.29

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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.