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Finding the Third Proportional to 53,389,125 and 114,826,410

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Solution

The third proportional to 53,389,125 and 114,826,410 is: 246,962,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,389,125 : 114,826,410 = 114,826,410 : x
  2. Step 2: Convert to fraction form
    53,389,125/114,826,410 = 114,826,410/x
  3. Step 3: Cross multiply
    53,389,125x = 114,826,410 × 114,826,410
  4. Step 4: Simplify right side
    53,389,125x = 13,185,104,433,488,100
  5. Step 5: Solve for x
    x = 13,185,104,433,488,100/53,389,125
  6. Step 6: Final answer
    x = 246,962,362.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.