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Finding the Third Proportional to 8,303,206.50 and 17,971,096.50

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Solution

The third proportional to 8,303,206.50 and 17,971,096.50 is: 38,895,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303,206.50 : 17,971,096.50 = 17,971,096.50 : x
  2. Step 2: Convert to fraction form
    8,303,206.50/17,971,096.50 = 17,971,096.50/x
  3. Step 3: Cross multiply
    8,303,206.50x = 17,971,096.50 × 17,971,096.50
  4. Step 4: Simplify right side
    8,303,206.50x = 322,960,309,412,312.25
  5. Step 5: Solve for x
    x = 322,960,309,412,312.25/8,303,206.50
  6. Step 6: Final answer
    x = 38,895,854.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.