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Finding the Third Proportional to 9,717,318 and 21,265,164

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Solution

The third proportional to 9,717,318 and 21,265,164 is: 46,536,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,318 : 21,265,164 = 21,265,164 : x
  2. Step 2: Convert to fraction form
    9,717,318/21,265,164 = 21,265,164/x
  3. Step 3: Cross multiply
    9,717,318x = 21,265,164 × 21,265,164
  4. Step 4: Simplify right side
    9,717,318x = 452,207,199,946,896
  5. Step 5: Solve for x
    x = 452,207,199,946,896/9,717,318
  6. Step 6: Final answer
    x = 46,536,215.03

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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.