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Finding the Third Proportional to 20,931,231,132 and 32,172,802,938

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Solution

The third proportional to 20,931,231,132 and 32,172,802,938 is: 49,451,904,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931,231,132 : 32,172,802,938 = 32,172,802,938 : x
  2. Step 2: Convert to fraction form
    20,931,231,132/32,172,802,938 = 32,172,802,938/x
  3. Step 3: Cross multiply
    20,931,231,132x = 32,172,802,938 × 32,172,802,938
  4. Step 4: Simplify right side
    20,931,231,132x = 1,035,089,248,887,381,426,176
  5. Step 5: Solve for x
    x = 1,035,089,248,887,381,426,176/20,931,231,132
  6. Step 6: Final answer
    x = 49,451,904,780.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.