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Finding the Third Proportional to 6,516,449 and 14,042,076

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Solution

The third proportional to 6,516,449 and 14,042,076 is: 30,258,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516,449 : 14,042,076 = 14,042,076 : x
  2. Step 2: Convert to fraction form
    6,516,449/14,042,076 = 14,042,076/x
  3. Step 3: Cross multiply
    6,516,449x = 14,042,076 × 14,042,076
  4. Step 4: Simplify right side
    6,516,449x = 197,179,898,389,776
  5. Step 5: Solve for x
    x = 197,179,898,389,776/6,516,449
  6. Step 6: Final answer
    x = 30,258,795.61

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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.