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Finding the Third Proportional to 40,493,994 and 65,208,667.50

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Solution

The third proportional to 40,493,994 and 65,208,667.50 is: 105,007,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,493,994 : 65,208,667.50 = 65,208,667.50 : x
  2. Step 2: Convert to fraction form
    40,493,994/65,208,667.50 = 65,208,667.50/x
  3. Step 3: Cross multiply
    40,493,994x = 65,208,667.50 × 65,208,667.50
  4. Step 4: Simplify right side
    40,493,994x = 4,252,170,317,125,556
  5. Step 5: Solve for x
    x = 4,252,170,317,125,556/40,493,994
  6. Step 6: Final answer
    x = 105,007,431.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.