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Finding the Third Proportional to 7,807,968 and 11,666,007

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Solution

The third proportional to 7,807,968 and 11,666,007 is: 17,430,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807,968 : 11,666,007 = 11,666,007 : x
  2. Step 2: Convert to fraction form
    7,807,968/11,666,007 = 11,666,007/x
  3. Step 3: Cross multiply
    7,807,968x = 11,666,007 × 11,666,007
  4. Step 4: Simplify right side
    7,807,968x = 136,095,719,324,049
  5. Step 5: Solve for x
    x = 136,095,719,324,049/7,807,968
  6. Step 6: Final answer
    x = 17,430,363.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.