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Finding the Third Proportional to 3,242,038,614 and 7,645,627,815

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Solution

The third proportional to 3,242,038,614 and 7,645,627,815 is: 18,030,514,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242,038,614 : 7,645,627,815 = 7,645,627,815 : x
  2. Step 2: Convert to fraction form
    3,242,038,614/7,645,627,815 = 7,645,627,815/x
  3. Step 3: Cross multiply
    3,242,038,614x = 7,645,627,815 × 7,645,627,815
  4. Step 4: Simplify right side
    3,242,038,614x = 58,455,624,685,501,677,568
  5. Step 5: Solve for x
    x = 58,455,624,685,501,677,568/3,242,038,614
  6. Step 6: Final answer
    x = 18,030,514,637.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.