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Finding the Third Proportional to 53,041,394 and 114,244,348

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Solution

The third proportional to 53,041,394 and 114,244,348 is: 246,067,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,041,394 : 114,244,348 = 114,244,348 : x
  2. Step 2: Convert to fraction form
    53,041,394/114,244,348 = 114,244,348/x
  3. Step 3: Cross multiply
    53,041,394x = 114,244,348 × 114,244,348
  4. Step 4: Simplify right side
    53,041,394x = 13,051,771,049,945,104
  5. Step 5: Solve for x
    x = 13,051,771,049,945,104/53,041,394
  6. Step 6: Final answer
    x = 246,067,647.66

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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.