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Finding the Third Proportional to 2,121,793,388 and 4,463,468,644

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Solution

The third proportional to 2,121,793,388 and 4,463,468,644 is: 9,389,487,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,793,388 : 4,463,468,644 = 4,463,468,644 : x
  2. Step 2: Convert to fraction form
    2,121,793,388/4,463,468,644 = 4,463,468,644/x
  3. Step 3: Cross multiply
    2,121,793,388x = 4,463,468,644 × 4,463,468,644
  4. Step 4: Simplify right side
    2,121,793,388x = 19,922,552,335,971,196,928
  5. Step 5: Solve for x
    x = 19,922,552,335,971,196,928/2,121,793,388
  6. Step 6: Final answer
    x = 9,389,487,425.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.