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Finding the Third Proportional to 9,459,724 and 20,686,084

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Solution

The third proportional to 9,459,724 and 20,686,084 is: 45,235,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,724 : 20,686,084 = 20,686,084 : x
  2. Step 2: Convert to fraction form
    9,459,724/20,686,084 = 20,686,084/x
  3. Step 3: Cross multiply
    9,459,724x = 20,686,084 × 20,686,084
  4. Step 4: Simplify right side
    9,459,724x = 427,914,071,255,056
  5. Step 5: Solve for x
    x = 427,914,071,255,056/9,459,724
  6. Step 6: Final answer
    x = 45,235,365.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.