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Finding the Third Proportional to 6,858,119 and 14,748,502

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Solution

The third proportional to 6,858,119 and 14,748,502 is: 31,716,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858,119 : 14,748,502 = 14,748,502 : x
  2. Step 2: Convert to fraction form
    6,858,119/14,748,502 = 14,748,502/x
  3. Step 3: Cross multiply
    6,858,119x = 14,748,502 × 14,748,502
  4. Step 4: Simplify right side
    6,858,119x = 217,518,311,244,004
  5. Step 5: Solve for x
    x = 217,518,311,244,004/6,858,119
  6. Step 6: Final answer
    x = 31,716,905.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.