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Finding the Third Proportional to 9,169,281,747 and 13,763,627,649

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Solution

The third proportional to 9,169,281,747 and 13,763,627,649 is: 20,660,009,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169,281,747 : 13,763,627,649 = 13,763,627,649 : x
  2. Step 2: Convert to fraction form
    9,169,281,747/13,763,627,649 = 13,763,627,649/x
  3. Step 3: Cross multiply
    9,169,281,747x = 13,763,627,649 × 13,763,627,649
  4. Step 4: Simplify right side
    9,169,281,747x = 189,437,446,060,317,278,208
  5. Step 5: Solve for x
    x = 189,437,446,060,317,278,208/9,169,281,747
  6. Step 6: Final answer
    x = 20,660,009,288.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.