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Finding the Third Proportional to 6,977,077,059 and 10,724,267,670

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Solution

The third proportional to 6,977,077,059 and 10,724,267,670 is: 16,483,968,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,077,059 : 10,724,267,670 = 10,724,267,670 : x
  2. Step 2: Convert to fraction form
    6,977,077,059/10,724,267,670 = 10,724,267,670/x
  3. Step 3: Cross multiply
    6,977,077,059x = 10,724,267,670 × 10,724,267,670
  4. Step 4: Simplify right side
    6,977,077,059x = 115,009,917,057,807,220,736
  5. Step 5: Solve for x
    x = 115,009,917,057,807,220,736/6,977,077,059
  6. Step 6: Final answer
    x = 16,483,968,298.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.