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Finding the Third Proportional to 22,122,367,232 and 32,343,674,160

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Solution

The third proportional to 22,122,367,232 and 32,343,674,160 is: 47,287,582,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122,367,232 : 32,343,674,160 = 32,343,674,160 : x
  2. Step 2: Convert to fraction form
    22,122,367,232/32,343,674,160 = 32,343,674,160/x
  3. Step 3: Cross multiply
    22,122,367,232x = 32,343,674,160 × 32,343,674,160
  4. Step 4: Simplify right side
    22,122,367,232x = 1,046,113,258,168,251,711,488
  5. Step 5: Solve for x
    x = 1,046,113,258,168,251,711,488/22,122,367,232
  6. Step 6: Final answer
    x = 47,287,582,165.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.