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Finding the Third Proportional to 15,019,453,125 and 31,274,944,164

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Solution

The third proportional to 15,019,453,125 and 31,274,944,164 is: 65,123,684,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019,453,125 : 31,274,944,164 = 31,274,944,164 : x
  2. Step 2: Convert to fraction form
    15,019,453,125/31,274,944,164 = 31,274,944,164/x
  3. Step 3: Cross multiply
    15,019,453,125x = 31,274,944,164 × 31,274,944,164
  4. Step 4: Simplify right side
    15,019,453,125x = 978,122,132,461,317,652,480
  5. Step 5: Solve for x
    x = 978,122,132,461,317,652,480/15,019,453,125
  6. Step 6: Final answer
    x = 65,123,684,885.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.