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Finding the Third Proportional to 258,585,452,760 and 604,172,295,972

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Solution

The third proportional to 258,585,452,760 and 604,172,295,972 is: 1,411,619,096,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,585,452,760 : 604,172,295,972 = 604,172,295,972 : x
  2. Step 2: Convert to fraction form
    258,585,452,760/604,172,295,972 = 604,172,295,972/x
  3. Step 3: Cross multiply
    258,585,452,760x = 604,172,295,972 × 604,172,295,972
  4. Step 4: Simplify right side
    258,585,452,760x = 365,024,163,220,077,984,874,496
  5. Step 5: Solve for x
    x = 365,024,163,220,077,984,874,496/258,585,452,760
  6. Step 6: Final answer
    x = 1,411,619,096,604.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.