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Finding the Third Proportional to 387,617,960 and 595,795,647

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Solution

The third proportional to 387,617,960 and 595,795,647 is: 915,779,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,617,960 : 595,795,647 = 595,795,647 : x
  2. Step 2: Convert to fraction form
    387,617,960/595,795,647 = 595,795,647/x
  3. Step 3: Cross multiply
    387,617,960x = 595,795,647 × 595,795,647
  4. Step 4: Simplify right side
    387,617,960x = 354,972,452,984,148,608
  5. Step 5: Solve for x
    x = 354,972,452,984,148,608/387,617,960
  6. Step 6: Final answer
    x = 915,779,168.19

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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.