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Finding the Third Proportional to 6,477,187,742 and 9,951,483,090

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Solution

The third proportional to 6,477,187,742 and 9,951,483,090 is: 15,289,353,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,187,742 : 9,951,483,090 = 9,951,483,090 : x
  2. Step 2: Convert to fraction form
    6,477,187,742/9,951,483,090 = 9,951,483,090/x
  3. Step 3: Cross multiply
    6,477,187,742x = 9,951,483,090 × 9,951,483,090
  4. Step 4: Simplify right side
    6,477,187,742x = 99,032,015,690,555,949,056
  5. Step 5: Solve for x
    x = 99,032,015,690,555,949,056/6,477,187,742
  6. Step 6: Final answer
    x = 15,289,353,904.07

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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.