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Finding the Third Proportional to 770,071,694 and 1,681,257,416

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Solution

The third proportional to 770,071,694 and 1,681,257,416 is: 3,670,601,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,071,694 : 1,681,257,416 = 1,681,257,416 : x
  2. Step 2: Convert to fraction form
    770,071,694/1,681,257,416 = 1,681,257,416/x
  3. Step 3: Cross multiply
    770,071,694x = 1,681,257,416 × 1,681,257,416
  4. Step 4: Simplify right side
    770,071,694x = 2,826,626,498,854,996,992
  5. Step 5: Solve for x
    x = 2,826,626,498,854,996,992/770,071,694
  6. Step 6: Final answer
    x = 3,670,601,738.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.