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Finding the Third Proportional to 5,984,646 and 9,477,997.50

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Solution

The third proportional to 5,984,646 and 9,477,997.50 is: 15,010,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984,646 : 9,477,997.50 = 9,477,997.50 : x
  2. Step 2: Convert to fraction form
    5,984,646/9,477,997.50 = 9,477,997.50/x
  3. Step 3: Cross multiply
    5,984,646x = 9,477,997.50 × 9,477,997.50
  4. Step 4: Simplify right side
    5,984,646x = 89,832,436,610,006.25
  5. Step 5: Solve for x
    x = 89,832,436,610,006.25/5,984,646
  6. Step 6: Final answer
    x = 15,010,484.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.