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Finding the Third Proportional to 304,504,534,299.10 and 653,212,877,218.20

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Solution

The third proportional to 304,504,534,299.10 and 653,212,877,218.20 is: 1,401,250,276,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,504,534,299.10 : 653,212,877,218.20 = 653,212,877,218.20 : x
  2. Step 2: Convert to fraction form
    304,504,534,299.10/653,212,877,218.20 = 653,212,877,218.20/x
  3. Step 3: Cross multiply
    304,504,534,299.10x = 653,212,877,218.20 × 653,212,877,218.20
  4. Step 4: Simplify right side
    304,504,534,299.10x = 426,687,062,963,679,131,598,848
  5. Step 5: Solve for x
    x = 426,687,062,963,679,131,598,848/304,504,534,299.10
  6. Step 6: Final answer
    x = 1,401,250,276,767.85

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1.5x scale

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.