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Finding the Third Proportional to 4,432,444 and 9,705,636

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Solution

The third proportional to 4,432,444 and 9,705,636 is: 21,252,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432,444 : 9,705,636 = 9,705,636 : x
  2. Step 2: Convert to fraction form
    4,432,444/9,705,636 = 9,705,636/x
  3. Step 3: Cross multiply
    4,432,444x = 9,705,636 × 9,705,636
  4. Step 4: Simplify right side
    4,432,444x = 94,199,370,164,496
  5. Step 5: Solve for x
    x = 94,199,370,164,496/4,432,444
  6. Step 6: Final answer
    x = 21,252,241.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.