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Finding the Third Proportional to 771,835,478,787 and 1,167,680,080,003

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Solution

The third proportional to 771,835,478,787 and 1,167,680,080,003 is: 1,766,538,085,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,835,478,787 : 1,167,680,080,003 = 1,167,680,080,003 : x
  2. Step 2: Convert to fraction form
    771,835,478,787/1,167,680,080,003 = 1,167,680,080,003/x
  3. Step 3: Cross multiply
    771,835,478,787x = 1,167,680,080,003 × 1,167,680,080,003
  4. Step 4: Simplify right side
    771,835,478,787x = 1,363,476,769,235,812,426,448,896
  5. Step 5: Solve for x
    x = 1,363,476,769,235,812,426,448,896/771,835,478,787
  6. Step 6: Final answer
    x = 1,766,538,085,783.03

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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.