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Finding the Third Proportional to 10,362,910 and 16,254,315

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Solution

The third proportional to 10,362,910 and 16,254,315 is: 25,495,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,910 : 16,254,315 = 16,254,315 : x
  2. Step 2: Convert to fraction form
    10,362,910/16,254,315 = 16,254,315/x
  3. Step 3: Cross multiply
    10,362,910x = 16,254,315 × 16,254,315
  4. Step 4: Simplify right side
    10,362,910x = 264,202,756,119,225
  5. Step 5: Solve for x
    x = 264,202,756,119,225/10,362,910
  6. Step 6: Final answer
    x = 25,495,035.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.