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Finding the Third Proportional to 6,121,695 and 13,345,641

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Solution

The third proportional to 6,121,695 and 13,345,641 is: 29,094,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,695 : 13,345,641 = 13,345,641 : x
  2. Step 2: Convert to fraction form
    6,121,695/13,345,641 = 13,345,641/x
  3. Step 3: Cross multiply
    6,121,695x = 13,345,641 × 13,345,641
  4. Step 4: Simplify right side
    6,121,695x = 178,106,133,700,881
  5. Step 5: Solve for x
    x = 178,106,133,700,881/6,121,695
  6. Step 6: Final answer
    x = 29,094,251.46

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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.