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Finding the Third Proportional to 64,029,975 and 140,504,430

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Solution

The third proportional to 64,029,975 and 140,504,430 is: 308,316,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029,975 : 140,504,430 = 140,504,430 : x
  2. Step 2: Convert to fraction form
    64,029,975/140,504,430 = 140,504,430/x
  3. Step 3: Cross multiply
    64,029,975x = 140,504,430 × 140,504,430
  4. Step 4: Simplify right side
    64,029,975x = 19,741,494,849,624,900
  5. Step 5: Solve for x
    x = 19,741,494,849,624,900/64,029,975
  6. Step 6: Final answer
    x = 308,316,454.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.