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Finding the Third Proportional to 29,788,526,600 and 44,424,467,292

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Solution

The third proportional to 29,788,526,600 and 44,424,467,292 is: 66,251,457,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,788,526,600 : 44,424,467,292 = 44,424,467,292 : x
  2. Step 2: Convert to fraction form
    29,788,526,600/44,424,467,292 = 44,424,467,292/x
  3. Step 3: Cross multiply
    29,788,526,600x = 44,424,467,292 × 44,424,467,292
  4. Step 4: Simplify right side
    29,788,526,600x = 1,973,533,294,177,977,892,864
  5. Step 5: Solve for x
    x = 1,973,533,294,177,977,892,864/29,788,526,600
  6. Step 6: Final answer
    x = 66,251,457,169.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.