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Finding the Third Proportional to 4,128,512 and 8,633,461

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Solution

The third proportional to 4,128,512 and 8,633,461 is: 18,054,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128,512 : 8,633,461 = 8,633,461 : x
  2. Step 2: Convert to fraction form
    4,128,512/8,633,461 = 8,633,461/x
  3. Step 3: Cross multiply
    4,128,512x = 8,633,461 × 8,633,461
  4. Step 4: Simplify right side
    4,128,512x = 74,536,648,838,521
  5. Step 5: Solve for x
    x = 74,536,648,838,521/4,128,512
  6. Step 6: Final answer
    x = 18,054,119.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.