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Finding the Third Proportional to 354,437,635,670 and 762,632,283,693

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Solution

The third proportional to 354,437,635,670 and 762,632,283,693 is: 1,640,931,835,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,437,635,670 : 762,632,283,693 = 762,632,283,693 : x
  2. Step 2: Convert to fraction form
    354,437,635,670/762,632,283,693 = 762,632,283,693/x
  3. Step 3: Cross multiply
    354,437,635,670x = 762,632,283,693 × 762,632,283,693
  4. Step 4: Simplify right side
    354,437,635,670x = 581,608,000,130,800,433,496,064
  5. Step 5: Solve for x
    x = 581,608,000,130,800,433,496,064/354,437,635,670
  6. Step 6: Final answer
    x = 1,640,931,835,670.83

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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.