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Finding the Third Proportional to 516,930,247,956 and 794,068,152,894

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Solution

The third proportional to 516,930,247,956 and 794,068,152,894 is: 1,219,785,907,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,930,247,956 : 794,068,152,894 = 794,068,152,894 : x
  2. Step 2: Convert to fraction form
    516,930,247,956/794,068,152,894 = 794,068,152,894/x
  3. Step 3: Cross multiply
    516,930,247,956x = 794,068,152,894 × 794,068,152,894
  4. Step 4: Simplify right side
    516,930,247,956x = 630,544,231,440,489,004,400,640
  5. Step 5: Solve for x
    x = 630,544,231,440,489,004,400,640/516,930,247,956
  6. Step 6: Final answer
    x = 1,219,785,907,158.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.