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Finding the Third Proportional to 3,315,762,698 and 7,190,978,758

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Solution

The third proportional to 3,315,762,698 and 7,190,978,758 is: 15,595,258,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315,762,698 : 7,190,978,758 = 7,190,978,758 : x
  2. Step 2: Convert to fraction form
    3,315,762,698/7,190,978,758 = 7,190,978,758/x
  3. Step 3: Cross multiply
    3,315,762,698x = 7,190,978,758 × 7,190,978,758
  4. Step 4: Simplify right side
    3,315,762,698x = 51,710,175,498,007,224,320
  5. Step 5: Solve for x
    x = 51,710,175,498,007,224,320/3,315,762,698
  6. Step 6: Final answer
    x = 15,595,258,227.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.