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Finding the Third Proportional to 5,263,670.25 and 7,713,009

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Solution

The third proportional to 5,263,670.25 and 7,713,009 is: 11,302,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263,670.25 : 7,713,009 = 7,713,009 : x
  2. Step 2: Convert to fraction form
    5,263,670.25/7,713,009 = 7,713,009/x
  3. Step 3: Cross multiply
    5,263,670.25x = 7,713,009 × 7,713,009
  4. Step 4: Simplify right side
    5,263,670.25x = 59,490,507,834,081
  5. Step 5: Solve for x
    x = 59,490,507,834,081/5,263,670.25
  6. Step 6: Final answer
    x = 11,302,096.26

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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.