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Finding the Third Proportional to 54,548,710.50 and 81,742,871.25

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Solution

The third proportional to 54,548,710.50 and 81,742,871.25 is: 122,494,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548,710.50 : 81,742,871.25 = 81,742,871.25 : x
  2. Step 2: Convert to fraction form
    54,548,710.50/81,742,871.25 = 81,742,871.25/x
  3. Step 3: Cross multiply
    54,548,710.50x = 81,742,871.25 × 81,742,871.25
  4. Step 4: Simplify right side
    54,548,710.50x = 6,681,897,000,194,077
  5. Step 5: Solve for x
    x = 6,681,897,000,194,077/54,548,710.50
  6. Step 6: Final answer
    x = 122,494,133.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.