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Finding the Third Proportional to 354,437,635,602 and 762,632,283,552

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Solution

The third proportional to 354,437,635,602 and 762,632,283,552 is: 1,640,931,835,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,437,635,602 : 762,632,283,552 = 762,632,283,552 : x
  2. Step 2: Convert to fraction form
    354,437,635,602/762,632,283,552 = 762,632,283,552/x
  3. Step 3: Cross multiply
    354,437,635,602x = 762,632,283,552 × 762,632,283,552
  4. Step 4: Simplify right side
    354,437,635,602x = 581,607,999,915,738,133,430,272
  5. Step 5: Solve for x
    x = 581,607,999,915,738,133,430,272/354,437,635,602
  6. Step 6: Final answer
    x = 1,640,931,835,378.87

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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.