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Finding the Third Proportional to 10,140,576.75 and 21,487,968

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Solution

The third proportional to 10,140,576.75 and 21,487,968 is: 45,533,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140,576.75 : 21,487,968 = 21,487,968 : x
  2. Step 2: Convert to fraction form
    10,140,576.75/21,487,968 = 21,487,968/x
  3. Step 3: Cross multiply
    10,140,576.75x = 21,487,968 × 21,487,968
  4. Step 4: Simplify right side
    10,140,576.75x = 461,732,768,769,024
  5. Step 5: Solve for x
    x = 461,732,768,769,024/10,140,576.75
  6. Step 6: Final answer
    x = 45,533,186.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.