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Finding the Third Proportional to 15,314,096 and 23,724,024

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Solution

The third proportional to 15,314,096 and 23,724,024 is: 36,752,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314,096 : 23,724,024 = 23,724,024 : x
  2. Step 2: Convert to fraction form
    15,314,096/23,724,024 = 23,724,024/x
  3. Step 3: Cross multiply
    15,314,096x = 23,724,024 × 23,724,024
  4. Step 4: Simplify right side
    15,314,096x = 562,829,314,752,576
  5. Step 5: Solve for x
    x = 562,829,314,752,576/15,314,096
  6. Step 6: Final answer
    x = 36,752,369.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.