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Finding the Third Proportional to 10,362,976 and 16,254,421

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Solution

The third proportional to 10,362,976 and 16,254,421 is: 25,495,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,976 : 16,254,421 = 16,254,421 : x
  2. Step 2: Convert to fraction form
    10,362,976/16,254,421 = 16,254,421/x
  3. Step 3: Cross multiply
    10,362,976x = 16,254,421 × 16,254,421
  4. Step 4: Simplify right side
    10,362,976x = 264,206,202,045,241
  5. Step 5: Solve for x
    x = 264,206,202,045,241/10,362,976
  6. Step 6: Final answer
    x = 25,495,205.44

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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.