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Finding the Third Proportional to 3,636,889,023 and 7,841,458,014

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Solution

The third proportional to 3,636,889,023 and 7,841,458,014 is: 16,906,884,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636,889,023 : 7,841,458,014 = 7,841,458,014 : x
  2. Step 2: Convert to fraction form
    3,636,889,023/7,841,458,014 = 7,841,458,014/x
  3. Step 3: Cross multiply
    3,636,889,023x = 7,841,458,014 × 7,841,458,014
  4. Step 4: Simplify right side
    3,636,889,023x = 61,488,463,785,324,822,528
  5. Step 5: Solve for x
    x = 61,488,463,785,324,822,528/3,636,889,023
  6. Step 6: Final answer
    x = 16,906,884,811.85

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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.