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Finding the Third Proportional to 35,407,280.25 and 76,195,406.25

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Solution

The third proportional to 35,407,280.25 and 76,195,406.25 is: 163,970,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407,280.25 : 76,195,406.25 = 76,195,406.25 : x
  2. Step 2: Convert to fraction form
    35,407,280.25/76,195,406.25 = 76,195,406.25/x
  3. Step 3: Cross multiply
    35,407,280.25x = 76,195,406.25 × 76,195,406.25
  4. Step 4: Simplify right side
    35,407,280.25x = 5,805,739,933,602,539
  5. Step 5: Solve for x
    x = 5,805,739,933,602,539/35,407,280.25
  6. Step 6: Final answer
    x = 163,970,231.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.