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Finding the Third Proportional to 4,164,408 and 6,299,136

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Solution

The third proportional to 4,164,408 and 6,299,136 is: 9,528,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,408 : 6,299,136 = 6,299,136 : x
  2. Step 2: Convert to fraction form
    4,164,408/6,299,136 = 6,299,136/x
  3. Step 3: Cross multiply
    4,164,408x = 6,299,136 × 6,299,136
  4. Step 4: Simplify right side
    4,164,408x = 39,679,114,346,496
  5. Step 5: Solve for x
    x = 39,679,114,346,496/4,164,408
  6. Step 6: Final answer
    x = 9,528,152.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.