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Finding the Third Proportional to 10,353,416 and 16,014,640

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Solution

The third proportional to 10,353,416 and 16,014,640 is: 24,771,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353,416 : 16,014,640 = 16,014,640 : x
  2. Step 2: Convert to fraction form
    10,353,416/16,014,640 = 16,014,640/x
  3. Step 3: Cross multiply
    10,353,416x = 16,014,640 × 16,014,640
  4. Step 4: Simplify right side
    10,353,416x = 256,468,694,329,600
  5. Step 5: Solve for x
    x = 256,468,694,329,600/10,353,416
  6. Step 6: Final answer
    x = 24,771,408.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.