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Finding the Third Proportional to 247,240,167,318 and 535,554,473,277

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Solution

The third proportional to 247,240,167,318 and 535,554,473,277 is: 1,160,080,892,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,240,167,318 : 535,554,473,277 = 535,554,473,277 : x
  2. Step 2: Convert to fraction form
    247,240,167,318/535,554,473,277 = 535,554,473,277/x
  3. Step 3: Cross multiply
    247,240,167,318x = 535,554,473,277 × 535,554,473,277
  4. Step 4: Simplify right side
    247,240,167,318x = 286,818,593,847,004,895,379,456
  5. Step 5: Solve for x
    x = 286,818,593,847,004,895,379,456/247,240,167,318
  6. Step 6: Final answer
    x = 1,160,080,892,026.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.