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Finding the Third Proportional to 3,636,889,028 and 7,841,458,022

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Solution

The third proportional to 3,636,889,028 and 7,841,458,022 is: 16,906,884,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636,889,028 : 7,841,458,022 = 7,841,458,022 : x
  2. Step 2: Convert to fraction form
    3,636,889,028/7,841,458,022 = 7,841,458,022/x
  3. Step 3: Cross multiply
    3,636,889,028x = 7,841,458,022 × 7,841,458,022
  4. Step 4: Simplify right side
    3,636,889,028x = 61,488,463,910,788,153,344
  5. Step 5: Solve for x
    x = 61,488,463,910,788,153,344/3,636,889,028
  6. Step 6: Final answer
    x = 16,906,884,823.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.