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Finding the Third Proportional to 354,437,635,680 and 762,632,283,714

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Solution

The third proportional to 354,437,635,680 and 762,632,283,714 is: 1,640,931,835,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,437,635,680 : 762,632,283,714 = 762,632,283,714 : x
  2. Step 2: Convert to fraction form
    354,437,635,680/762,632,283,714 = 762,632,283,714/x
  3. Step 3: Cross multiply
    354,437,635,680x = 762,632,283,714 × 762,632,283,714
  4. Step 4: Simplify right side
    354,437,635,680x = 581,608,000,162,830,957,412,352
  5. Step 5: Solve for x
    x = 581,608,000,162,830,957,412,352/354,437,635,680
  6. Step 6: Final answer
    x = 1,640,931,835,714.90

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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.