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Finding the Third Proportional to 6,954,816.38 and 14,938,007.63

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Solution

The third proportional to 6,954,816.38 and 14,938,007.63 is: 32,084,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,816.38 : 14,938,007.63 = 14,938,007.63 : x
  2. Step 2: Convert to fraction form
    6,954,816.38/14,938,007.63 = 14,938,007.63/x
  3. Step 3: Cross multiply
    6,954,816.38x = 14,938,007.63 × 14,938,007.63
  4. Step 4: Simplify right side
    6,954,816.38x = 223,144,071,804,558.12
  5. Step 5: Solve for x
    x = 223,144,071,804,558.12/6,954,816.38
  6. Step 6: Final answer
    x = 32,084,825.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.