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Finding the Third Proportional to 41,029,406,054 and 61,302,583,119

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Solution

The third proportional to 41,029,406,054 and 61,302,583,119 is: 91,593,007,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,029,406,054 : 61,302,583,119 = 61,302,583,119 : x
  2. Step 2: Convert to fraction form
    41,029,406,054/61,302,583,119 = 61,302,583,119/x
  3. Step 3: Cross multiply
    41,029,406,054x = 61,302,583,119 × 61,302,583,119
  4. Step 4: Simplify right side
    41,029,406,054x = 3,758,006,697,061,903,761,408
  5. Step 5: Solve for x
    x = 3,758,006,697,061,903,761,408/41,029,406,054
  6. Step 6: Final answer
    x = 91,593,007,515.53

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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.