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Finding the Third Proportional to 6,477,187,603 and 9,951,482,886

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Solution

The third proportional to 6,477,187,603 and 9,951,482,886 is: 15,289,353,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,187,603 : 9,951,482,886 = 9,951,482,886 : x
  2. Step 2: Convert to fraction form
    6,477,187,603/9,951,482,886 = 9,951,482,886/x
  3. Step 3: Cross multiply
    6,477,187,603x = 9,951,482,886 × 9,951,482,886
  4. Step 4: Simplify right side
    6,477,187,603x = 99,032,011,630,350,893,056
  5. Step 5: Solve for x
    x = 99,032,011,630,350,893,056/6,477,187,603
  6. Step 6: Final answer
    x = 15,289,353,605.33

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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.