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Finding the Third Proportional to 10,362,969 and 16,254,410

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Solution

The third proportional to 10,362,969 and 16,254,410 is: 25,495,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,969 : 16,254,410 = 16,254,410 : x
  2. Step 2: Convert to fraction form
    10,362,969/16,254,410 = 16,254,410/x
  3. Step 3: Cross multiply
    10,362,969x = 16,254,410 × 16,254,410
  4. Step 4: Simplify right side
    10,362,969x = 264,205,844,448,100
  5. Step 5: Solve for x
    x = 264,205,844,448,100/10,362,969
  6. Step 6: Final answer
    x = 25,495,188.15

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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.