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Finding the Third Proportional to 5,847,998 and 8,771,997

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Solution

The third proportional to 5,847,998 and 8,771,997 is: 13,157,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,998 : 8,771,997 = 8,771,997 : x
  2. Step 2: Convert to fraction form
    5,847,998/8,771,997 = 8,771,997/x
  3. Step 3: Cross multiply
    5,847,998x = 8,771,997 × 8,771,997
  4. Step 4: Simplify right side
    5,847,998x = 76,947,931,368,009
  5. Step 5: Solve for x
    x = 76,947,931,368,009/5,847,998
  6. Step 6: Final answer
    x = 13,157,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.