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Finding the Third Proportional to 30,603,730.50 and 64,661,464.50

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Solution

The third proportional to 30,603,730.50 and 64,661,464.50 is: 136,620,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603,730.50 : 64,661,464.50 = 64,661,464.50 : x
  2. Step 2: Convert to fraction form
    30,603,730.50/64,661,464.50 = 64,661,464.50/x
  3. Step 3: Cross multiply
    30,603,730.50x = 64,661,464.50 × 64,661,464.50
  4. Step 4: Simplify right side
    30,603,730.50x = 4,181,104,991,284,760
  5. Step 5: Solve for x
    x = 4,181,104,991,284,760/30,603,730.50
  6. Step 6: Final answer
    x = 136,620,762.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.