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Finding the Third Proportional to 676,841,651,284 and 1,023,967,587,966

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Solution

The third proportional to 676,841,651,284 and 1,023,967,587,966 is: 1,549,121,008,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,841,651,284 : 1,023,967,587,966 = 1,023,967,587,966 : x
  2. Step 2: Convert to fraction form
    676,841,651,284/1,023,967,587,966 = 1,023,967,587,966/x
  3. Step 3: Cross multiply
    676,841,651,284x = 1,023,967,587,966 × 1,023,967,587,966
  4. Step 4: Simplify right side
    676,841,651,284x = 1,048,509,621,204,907,951,390,720
  5. Step 5: Solve for x
    x = 1,048,509,621,204,907,951,390,720/676,841,651,284
  6. Step 6: Final answer
    x = 1,549,121,008,164.67

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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.