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Finding the Third Proportional to 30,718,097 and 65,994,843

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Solution

The third proportional to 30,718,097 and 65,994,843 is: 141,783,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718,097 : 65,994,843 = 65,994,843 : x
  2. Step 2: Convert to fraction form
    30,718,097/65,994,843 = 65,994,843/x
  3. Step 3: Cross multiply
    30,718,097x = 65,994,843 × 65,994,843
  4. Step 4: Simplify right side
    30,718,097x = 4,355,319,302,594,649
  5. Step 5: Solve for x
    x = 4,355,319,302,594,649/30,718,097
  6. Step 6: Final answer
    x = 141,783,499.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.