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Finding the Third Proportional to 22,096,420.31 and 52,087,409.44

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Solution

The third proportional to 22,096,420.31 and 52,087,409.44 is: 122,784,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096,420.31 : 52,087,409.44 = 52,087,409.44 : x
  2. Step 2: Convert to fraction form
    22,096,420.31/52,087,409.44 = 52,087,409.44/x
  3. Step 3: Cross multiply
    22,096,420.31x = 52,087,409.44 × 52,087,409.44
  4. Step 4: Simplify right side
    22,096,420.31x = 2,713,098,221,909,764
  5. Step 5: Solve for x
    x = 2,713,098,221,909,764/22,096,420.31
  6. Step 6: Final answer
    x = 122,784,513.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.