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Finding the Third Proportional to 3,422,692,102 and 7,501,536,692

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Solution

The third proportional to 3,422,692,102 and 7,501,536,692 is: 16,441,167,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422,692,102 : 7,501,536,692 = 7,501,536,692 : x
  2. Step 2: Convert to fraction form
    3,422,692,102/7,501,536,692 = 7,501,536,692/x
  3. Step 3: Cross multiply
    3,422,692,102x = 7,501,536,692 × 7,501,536,692
  4. Step 4: Simplify right side
    3,422,692,102x = 56,273,052,741,422,301,184
  5. Step 5: Solve for x
    x = 56,273,052,741,422,301,184/3,422,692,102
  6. Step 6: Final answer
    x = 16,441,167,088.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.