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Finding the Third Proportional to 7,014,706,796 and 15,264,284,564

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Solution

The third proportional to 7,014,706,796 and 15,264,284,564 is: 33,215,698,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,706,796 : 15,264,284,564 = 15,264,284,564 : x
  2. Step 2: Convert to fraction form
    7,014,706,796/15,264,284,564 = 15,264,284,564/x
  3. Step 3: Cross multiply
    7,014,706,796x = 15,264,284,564 × 15,264,284,564
  4. Step 4: Simplify right side
    7,014,706,796x = 232,998,383,250,768,658,432
  5. Step 5: Solve for x
    x = 232,998,383,250,768,658,432/7,014,706,796
  6. Step 6: Final answer
    x = 33,215,698,107.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.