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Finding the Third Proportional to 7,963,640 and 12,297,513

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Solution

The third proportional to 7,963,640 and 12,297,513 is: 18,989,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963,640 : 12,297,513 = 12,297,513 : x
  2. Step 2: Convert to fraction form
    7,963,640/12,297,513 = 12,297,513/x
  3. Step 3: Cross multiply
    7,963,640x = 12,297,513 × 12,297,513
  4. Step 4: Simplify right side
    7,963,640x = 151,228,825,985,169
  5. Step 5: Solve for x
    x = 151,228,825,985,169/7,963,640
  6. Step 6: Final answer
    x = 18,989,912.40

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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.