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Finding the Third Proportional to 42,641,976.22 and 65,503,291.84

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Solution

The third proportional to 42,641,976.22 and 65,503,291.84 is: 100,621,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,641,976.22 : 65,503,291.84 = 65,503,291.84 : x
  2. Step 2: Convert to fraction form
    42,641,976.22/65,503,291.84 = 65,503,291.84/x
  3. Step 3: Cross multiply
    42,641,976.22x = 65,503,291.84 × 65,503,291.84
  4. Step 4: Simplify right side
    42,641,976.22x = 4,290,681,242,367,485.50
  5. Step 5: Solve for x
    x = 4,290,681,242,367,485.50/42,641,976.22
  6. Step 6: Final answer
    x = 100,621,069.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.