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Finding the Third Proportional to 52,414,047 and 81,073,973.25

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Solution

The third proportional to 52,414,047 and 81,073,973.25 is: 125,405,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414,047 : 81,073,973.25 = 81,073,973.25 : x
  2. Step 2: Convert to fraction form
    52,414,047/81,073,973.25 = 81,073,973.25/x
  3. Step 3: Cross multiply
    52,414,047x = 81,073,973.25 × 81,073,973.25
  4. Step 4: Simplify right side
    52,414,047x = 6,572,989,138,541,716
  5. Step 5: Solve for x
    x = 6,572,989,138,541,716/52,414,047
  6. Step 6: Final answer
    x = 125,405,106.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.