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Finding the Third Proportional to 5,252,463 and 7,878,693.38

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Solution

The third proportional to 5,252,463 and 7,878,693.38 is: 11,818,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,463 : 7,878,693.38 = 7,878,693.38 : x
  2. Step 2: Convert to fraction form
    5,252,463/7,878,693.38 = 7,878,693.38/x
  3. Step 3: Cross multiply
    5,252,463x = 7,878,693.38 × 7,878,693.38
  4. Step 4: Simplify right side
    5,252,463x = 62,073,809,297,268.89
  5. Step 5: Solve for x
    x = 62,073,809,297,268.89/5,252,463
  6. Step 6: Final answer
    x = 11,818,038.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.