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Finding the Third Proportional to 637,237,138.50 and 984,155,488.50

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Solution

The third proportional to 637,237,138.50 and 984,155,488.50 is: 1,519,939,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,237,138.50 : 984,155,488.50 = 984,155,488.50 : x
  2. Step 2: Convert to fraction form
    637,237,138.50/984,155,488.50 = 984,155,488.50/x
  3. Step 3: Cross multiply
    637,237,138.50x = 984,155,488.50 × 984,155,488.50
  4. Step 4: Simplify right side
    637,237,138.50x = 968,562,025,544,673,664
  5. Step 5: Solve for x
    x = 968,562,025,544,673,664/637,237,138.50
  6. Step 6: Final answer
    x = 1,519,939,700.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.