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Finding the Third Proportional to 4,857,890,699.25 and 7,463,612,160

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Solution

The third proportional to 4,857,890,699.25 and 7,463,612,160 is: 11,467,015,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,890,699.25 : 7,463,612,160 = 7,463,612,160 : x
  2. Step 2: Convert to fraction form
    4,857,890,699.25/7,463,612,160 = 7,463,612,160/x
  3. Step 3: Cross multiply
    4,857,890,699.25x = 7,463,612,160 × 7,463,612,160
  4. Step 4: Simplify right side
    4,857,890,699.25x = 55,705,506,474,899,865,600
  5. Step 5: Solve for x
    x = 55,705,506,474,899,865,600/4,857,890,699.25
  6. Step 6: Final answer
    x = 11,467,015,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.