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Finding the Third Proportional to 253,463,768,424 and 537,146,334,988

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Solution

The third proportional to 253,463,768,424 and 537,146,334,988 is: 1,138,333,052,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,463,768,424 : 537,146,334,988 = 537,146,334,988 : x
  2. Step 2: Convert to fraction form
    253,463,768,424/537,146,334,988 = 537,146,334,988/x
  3. Step 3: Cross multiply
    253,463,768,424x = 537,146,334,988 × 537,146,334,988
  4. Step 4: Simplify right side
    253,463,768,424x = 288,526,185,191,040,700,383,232
  5. Step 5: Solve for x
    x = 288,526,185,191,040,700,383,232/253,463,768,424
  6. Step 6: Final answer
    x = 1,138,333,052,432.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.