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Finding the Third Proportional to 2,575,683.56 and 5,656,969.13

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Solution

The third proportional to 2,575,683.56 and 5,656,969.13 is: 12,424,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,683.56 : 5,656,969.13 = 5,656,969.13 : x
  2. Step 2: Convert to fraction form
    2,575,683.56/5,656,969.13 = 5,656,969.13/x
  3. Step 3: Cross multiply
    2,575,683.56x = 5,656,969.13 × 5,656,969.13
  4. Step 4: Simplify right side
    2,575,683.56x = 32,001,299,681,203.27
  5. Step 5: Solve for x
    x = 32,001,299,681,203.27/2,575,683.56
  6. Step 6: Final answer
    x = 12,424,391.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.