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Finding the Third Proportional to 304,504,534,308.07 and 653,212,877,235.60

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Solution

The third proportional to 304,504,534,308.07 and 653,212,877,235.60 is: 1,401,250,276,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,504,534,308.07 : 653,212,877,235.60 = 653,212,877,235.60 : x
  2. Step 2: Convert to fraction form
    304,504,534,308.07/653,212,877,235.60 = 653,212,877,235.60/x
  3. Step 3: Cross multiply
    304,504,534,308.07x = 653,212,877,235.60 × 653,212,877,235.60
  4. Step 4: Simplify right side
    304,504,534,308.07x = 426,687,062,986,410,984,210,432
  5. Step 5: Solve for x
    x = 426,687,062,986,410,984,210,432/304,504,534,308.07
  6. Step 6: Final answer
    x = 1,401,250,276,801.22

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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.