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Finding the Third Proportional to 401,882,244.19 and 865,343,369.81

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Solution

The third proportional to 401,882,244.19 and 865,343,369.81 is: 1,863,279,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882,244.19 : 865,343,369.81 = 865,343,369.81 : x
  2. Step 2: Convert to fraction form
    401,882,244.19/865,343,369.81 = 865,343,369.81/x
  3. Step 3: Cross multiply
    401,882,244.19x = 865,343,369.81 × 865,343,369.81
  4. Step 4: Simplify right side
    401,882,244.19x = 748,819,147,678,453,120
  5. Step 5: Solve for x
    x = 748,819,147,678,453,120/401,882,244.19
  6. Step 6: Final answer
    x = 1,863,279,999.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.