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Finding the Third Proportional to 23,507,763.75 and 35,617,174.13

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Solution

The third proportional to 23,507,763.75 and 35,617,174.13 is: 53,964,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507,763.75 : 35,617,174.13 = 35,617,174.13 : x
  2. Step 2: Convert to fraction form
    23,507,763.75/35,617,174.13 = 35,617,174.13/x
  3. Step 3: Cross multiply
    23,507,763.75x = 35,617,174.13 × 35,617,174.13
  4. Step 4: Simplify right side
    23,507,763.75x = 1,268,583,092,650,569.50
  5. Step 5: Solve for x
    x = 1,268,583,092,650,569.50/23,507,763.75
  6. Step 6: Final answer
    x = 53,964,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.