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Finding the Third Proportional to 568,641,993 and 873,655,575

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Solution

The third proportional to 568,641,993 and 873,655,575 is: 1,342,275,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,641,993 : 873,655,575 = 873,655,575 : x
  2. Step 2: Convert to fraction form
    568,641,993/873,655,575 = 873,655,575/x
  3. Step 3: Cross multiply
    568,641,993x = 873,655,575 × 873,655,575
  4. Step 4: Simplify right side
    568,641,993x = 763,274,063,728,580,608
  5. Step 5: Solve for x
    x = 763,274,063,728,580,608/568,641,993
  6. Step 6: Final answer
    x = 1,342,275,233.14

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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.