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Finding the Third Proportional to 7,224,017 and 9,905,961

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Solution

The third proportional to 7,224,017 and 9,905,961 is: 13,583,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224,017 : 9,905,961 = 9,905,961 : x
  2. Step 2: Convert to fraction form
    7,224,017/9,905,961 = 9,905,961/x
  3. Step 3: Cross multiply
    7,224,017x = 9,905,961 × 9,905,961
  4. Step 4: Simplify right side
    7,224,017x = 98,128,063,333,521
  5. Step 5: Solve for x
    x = 98,128,063,333,521/7,224,017
  6. Step 6: Final answer
    x = 13,583,586.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.