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Finding the Third Proportional to 6,980,884,083 and 9,795,562,295

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Solution

The third proportional to 6,980,884,083 and 9,795,562,295 is: 13,745,113,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980,884,083 : 9,795,562,295 = 9,795,562,295 : x
  2. Step 2: Convert to fraction form
    6,980,884,083/9,795,562,295 = 9,795,562,295/x
  3. Step 3: Cross multiply
    6,980,884,083x = 9,795,562,295 × 9,795,562,295
  4. Step 4: Simplify right side
    6,980,884,083x = 95,953,040,675,225,665,536
  5. Step 5: Solve for x
    x = 95,953,040,675,225,665,536/6,980,884,083
  6. Step 6: Final answer
    x = 13,745,113,016.40

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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.