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Finding the Third Proportional to 3,884,310,088 and 5,678,997,176

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Solution

The third proportional to 3,884,310,088 and 5,678,997,176 is: 8,302,892,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,310,088 : 5,678,997,176 = 5,678,997,176 : x
  2. Step 2: Convert to fraction form
    3,884,310,088/5,678,997,176 = 5,678,997,176/x
  3. Step 3: Cross multiply
    3,884,310,088x = 5,678,997,176 × 5,678,997,176
  4. Step 4: Simplify right side
    3,884,310,088x = 32,251,008,925,015,973,888
  5. Step 5: Solve for x
    x = 32,251,008,925,015,973,888/3,884,310,088
  6. Step 6: Final answer
    x = 8,302,892,455.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.