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Finding the Third Proportional to 280,049,489,991 and 602,573,656,405.77

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Solution

The third proportional to 280,049,489,991 and 602,573,656,405.77 is: 1,296,538,734,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,049,489,991 : 602,573,656,405.77 = 602,573,656,405.77 : x
  2. Step 2: Convert to fraction form
    280,049,489,991/602,573,656,405.77 = 602,573,656,405.77/x
  3. Step 3: Cross multiply
    280,049,489,991x = 602,573,656,405.77 × 602,573,656,405.77
  4. Step 4: Simplify right side
    280,049,489,991x = 363,095,011,394,219,017,240,576
  5. Step 5: Solve for x
    x = 363,095,011,394,219,017,240,576/280,049,489,991
  6. Step 6: Final answer
    x = 1,296,538,734,656.82

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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.