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Finding the Third Proportional to 771,835,478,790 and 1,167,680,080,007.50

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Solution

The third proportional to 771,835,478,790 and 1,167,680,080,007.50 is: 1,766,538,085,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,835,478,790 : 1,167,680,080,007.50 = 1,167,680,080,007.50 : x
  2. Step 2: Convert to fraction form
    771,835,478,790/1,167,680,080,007.50 = 1,167,680,080,007.50/x
  3. Step 3: Cross multiply
    771,835,478,790x = 1,167,680,080,007.50 × 1,167,680,080,007.50
  4. Step 4: Simplify right side
    771,835,478,790x = 1,363,476,769,246,321,674,551,296
  5. Step 5: Solve for x
    x = 1,363,476,769,246,321,674,551,296/771,835,478,790
  6. Step 6: Final answer
    x = 1,766,538,085,789.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.