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Finding the Third Proportional to 4,482,345,978 and 6,698,814,318

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Solution

The third proportional to 4,482,345,978 and 6,698,814,318 is: 10,011,300,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,345,978 : 6,698,814,318 = 6,698,814,318 : x
  2. Step 2: Convert to fraction form
    4,482,345,978/6,698,814,318 = 6,698,814,318/x
  3. Step 3: Cross multiply
    4,482,345,978x = 6,698,814,318 × 6,698,814,318
  4. Step 4: Simplify right side
    4,482,345,978x = 44,874,113,267,041,804,288
  5. Step 5: Solve for x
    x = 44,874,113,267,041,804,288/4,482,345,978
  6. Step 6: Final answer
    x = 10,011,300,664.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.