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Finding the Third Proportional to 6,980,884,085 and 9,795,562,298

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Solution

The third proportional to 6,980,884,085 and 9,795,562,298 is: 13,745,113,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980,884,085 : 9,795,562,298 = 9,795,562,298 : x
  2. Step 2: Convert to fraction form
    6,980,884,085/9,795,562,298 = 9,795,562,298/x
  3. Step 3: Cross multiply
    6,980,884,085x = 9,795,562,298 × 9,795,562,298
  4. Step 4: Simplify right side
    6,980,884,085x = 95,953,040,733,999,038,464
  5. Step 5: Solve for x
    x = 95,953,040,733,999,038,464/6,980,884,085
  6. Step 6: Final answer
    x = 13,745,113,020.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.