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Finding the Third Proportional to 29,658,100,503.94 and 44,762,960,638.69

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Solution

The third proportional to 29,658,100,503.94 and 44,762,960,638.69 is: 67,560,720,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658,100,503.94 : 44,762,960,638.69 = 44,762,960,638.69 : x
  2. Step 2: Convert to fraction form
    29,658,100,503.94/44,762,960,638.69 = 44,762,960,638.69/x
  3. Step 3: Cross multiply
    29,658,100,503.94x = 44,762,960,638.69 × 44,762,960,638.69
  4. Step 4: Simplify right side
    29,658,100,503.94x = 2,003,722,645,140,731,592,704
  5. Step 5: Solve for x
    x = 2,003,722,645,140,731,592,704/29,658,100,503.94
  6. Step 6: Final answer
    x = 67,560,720,716.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.