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Finding the Third Proportional to 46,317,180 and 68,128,536

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Solution

The third proportional to 46,317,180 and 68,128,536 is: 100,211,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,317,180 : 68,128,536 = 68,128,536 : x
  2. Step 2: Convert to fraction form
    46,317,180/68,128,536 = 68,128,536/x
  3. Step 3: Cross multiply
    46,317,180x = 68,128,536 × 68,128,536
  4. Step 4: Simplify right side
    46,317,180x = 4,641,497,417,503,296
  5. Step 5: Solve for x
    x = 4,641,497,417,503,296/46,317,180
  6. Step 6: Final answer
    x = 100,211,140.18

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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.