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Finding the Third Proportional to 32,353,485.75 and 45,507,642.75

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Solution

The third proportional to 32,353,485.75 and 45,507,642.75 is: 64,009,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353,485.75 : 45,507,642.75 = 45,507,642.75 : x
  2. Step 2: Convert to fraction form
    32,353,485.75/45,507,642.75 = 45,507,642.75/x
  3. Step 3: Cross multiply
    32,353,485.75x = 45,507,642.75 × 45,507,642.75
  4. Step 4: Simplify right side
    32,353,485.75x = 2,070,945,548,661,627.50
  5. Step 5: Solve for x
    x = 2,070,945,548,661,627.50/32,353,485.75
  6. Step 6: Final answer
    x = 64,009,966.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.