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Finding the Third Proportional to 4,507,477,179 and 6,009,287,367

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Solution

The third proportional to 4,507,477,179 and 6,009,287,367 is: 8,011,473,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507,477,179 : 6,009,287,367 = 6,009,287,367 : x
  2. Step 2: Convert to fraction form
    4,507,477,179/6,009,287,367 = 6,009,287,367/x
  3. Step 3: Cross multiply
    4,507,477,179x = 6,009,287,367 × 6,009,287,367
  4. Step 4: Simplify right side
    4,507,477,179x = 36,111,534,659,185,790,976
  5. Step 5: Solve for x
    x = 36,111,534,659,185,790,976/4,507,477,179
  6. Step 6: Final answer
    x = 8,011,473,652.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.