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Finding the Third Proportional to 4,765,616,857,752 and 6,687,103,851,684

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Solution

The third proportional to 4,765,616,857,752 and 6,687,103,851,684 is: 9,383,330,481,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765,616,857,752 : 6,687,103,851,684 = 6,687,103,851,684 : x
  2. Step 2: Convert to fraction form
    4,765,616,857,752/6,687,103,851,684 = 6,687,103,851,684/x
  3. Step 3: Cross multiply
    4,765,616,857,752x = 6,687,103,851,684 × 6,687,103,851,684
  4. Step 4: Simplify right side
    4,765,616,857,752x = 44,717,357,923,206,988,562,432,000
  5. Step 5: Solve for x
    x = 44,717,357,923,206,988,562,432,000/4,765,616,857,752
  6. Step 6: Final answer
    x = 9,383,330,481,229.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.