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Finding the Third Proportional to 44,351,517,148 and 67,644,365,084

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Solution

The third proportional to 44,351,517,148 and 67,644,365,084 is: 103,170,317,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,351,517,148 : 67,644,365,084 = 67,644,365,084 : x
  2. Step 2: Convert to fraction form
    44,351,517,148/67,644,365,084 = 67,644,365,084/x
  3. Step 3: Cross multiply
    44,351,517,148x = 67,644,365,084 × 67,644,365,084
  4. Step 4: Simplify right side
    44,351,517,148x = 4,575,760,127,617,478,426,624
  5. Step 5: Solve for x
    x = 4,575,760,127,617,478,426,624/44,351,517,148
  6. Step 6: Final answer
    x = 103,170,317,992.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.