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Finding the Third Proportional to 1,616,811,696 and 3,508,047,099

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Solution

The third proportional to 1,616,811,696 and 3,508,047,099 is: 7,611,519,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,811,696 : 3,508,047,099 = 3,508,047,099 : x
  2. Step 2: Convert to fraction form
    1,616,811,696/3,508,047,099 = 3,508,047,099/x
  3. Step 3: Cross multiply
    1,616,811,696x = 3,508,047,099 × 3,508,047,099
  4. Step 4: Simplify right side
    1,616,811,696x = 12,306,394,448,802,316,288
  5. Step 5: Solve for x
    x = 12,306,394,448,802,316,288/1,616,811,696
  6. Step 6: Final answer
    x = 7,611,519,931.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.