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Finding the Third Proportional to 6,631,407 and 9,971,716.50

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Solution

The third proportional to 6,631,407 and 9,971,716.50 is: 14,994,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631,407 : 9,971,716.50 = 9,971,716.50 : x
  2. Step 2: Convert to fraction form
    6,631,407/9,971,716.50 = 9,971,716.50/x
  3. Step 3: Cross multiply
    6,631,407x = 9,971,716.50 × 9,971,716.50
  4. Step 4: Simplify right side
    6,631,407x = 99,435,129,956,372.25
  5. Step 5: Solve for x
    x = 99,435,129,956,372.25/6,631,407
  6. Step 6: Final answer
    x = 14,994,575.05

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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.