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Finding the Third Proportional to 10,771,810.50 and 23,570,565

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Solution

The third proportional to 10,771,810.50 and 23,570,565 is: 51,576,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771,810.50 : 23,570,565 = 23,570,565 : x
  2. Step 2: Convert to fraction form
    10,771,810.50/23,570,565 = 23,570,565/x
  3. Step 3: Cross multiply
    10,771,810.50x = 23,570,565 × 23,570,565
  4. Step 4: Simplify right side
    10,771,810.50x = 555,571,534,419,225
  5. Step 5: Solve for x
    x = 555,571,534,419,225/10,771,810.50
  6. Step 6: Final answer
    x = 51,576,430.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.