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Finding the Third Proportional to 46,317,186 and 68,128,545

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Solution

The third proportional to 46,317,186 and 68,128,545 is: 100,211,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,317,186 : 68,128,545 = 68,128,545 : x
  2. Step 2: Convert to fraction form
    46,317,186/68,128,545 = 68,128,545/x
  3. Step 3: Cross multiply
    46,317,186x = 68,128,545 × 68,128,545
  4. Step 4: Simplify right side
    46,317,186x = 4,641,498,643,817,025
  5. Step 5: Solve for x
    x = 4,641,498,643,817,025/46,317,186
  6. Step 6: Final answer
    x = 100,211,153.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.