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Finding the Third Proportional to 11,742,210 and 24,289,882.50

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Solution

The third proportional to 11,742,210 and 24,289,882.50 is: 50,245,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,210 : 24,289,882.50 = 24,289,882.50 : x
  2. Step 2: Convert to fraction form
    11,742,210/24,289,882.50 = 24,289,882.50/x
  3. Step 3: Cross multiply
    11,742,210x = 24,289,882.50 × 24,289,882.50
  4. Step 4: Simplify right side
    11,742,210x = 589,998,391,863,806.25
  5. Step 5: Solve for x
    x = 589,998,391,863,806.25/11,742,210
  6. Step 6: Final answer
    x = 50,245,941.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.