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Finding the Third Proportional to 4,536,960 and 9,968,403

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Solution

The third proportional to 4,536,960 and 9,968,403 is: 21,902,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536,960 : 9,968,403 = 9,968,403 : x
  2. Step 2: Convert to fraction form
    4,536,960/9,968,403 = 9,968,403/x
  3. Step 3: Cross multiply
    4,536,960x = 9,968,403 × 9,968,403
  4. Step 4: Simplify right side
    4,536,960x = 99,369,058,370,409
  5. Step 5: Solve for x
    x = 99,369,058,370,409/4,536,960
  6. Step 6: Final answer
    x = 21,902,123.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.