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Finding the Third Proportional to 9,533,814.75 and 20,314,903.50

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Solution

The third proportional to 9,533,814.75 and 20,314,903.50 is: 43,287,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533,814.75 : 20,314,903.50 = 20,314,903.50 : x
  2. Step 2: Convert to fraction form
    9,533,814.75/20,314,903.50 = 20,314,903.50/x
  3. Step 3: Cross multiply
    9,533,814.75x = 20,314,903.50 × 20,314,903.50
  4. Step 4: Simplify right side
    9,533,814.75x = 412,695,304,214,312.25
  5. Step 5: Solve for x
    x = 412,695,304,214,312.25/9,533,814.75
  6. Step 6: Final answer
    x = 43,287,531.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.