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Finding the Third Proportional to 280,049,489,836 and 602,573,656,116

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Solution

The third proportional to 280,049,489,836 and 602,573,656,116 is: 1,296,538,734,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,049,489,836 : 602,573,656,116 = 602,573,656,116 : x
  2. Step 2: Convert to fraction form
    280,049,489,836/602,573,656,116 = 602,573,656,116/x
  3. Step 3: Cross multiply
    280,049,489,836x = 602,573,656,116 × 602,573,656,116
  4. Step 4: Simplify right side
    280,049,489,836x = 363,095,011,045,003,413,684,224
  5. Step 5: Solve for x
    x = 363,095,011,045,003,413,684,224/280,049,489,836
  6. Step 6: Final answer
    x = 1,296,538,734,127.44

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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.