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Finding the Third Proportional to 11,242,553,871 and 17,464,256,838

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Solution

The third proportional to 11,242,553,871 and 17,464,256,838 is: 27,129,090,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242,553,871 : 17,464,256,838 = 17,464,256,838 : x
  2. Step 2: Convert to fraction form
    11,242,553,871/17,464,256,838 = 17,464,256,838/x
  3. Step 3: Cross multiply
    11,242,553,871x = 17,464,256,838 × 17,464,256,838
  4. Step 4: Simplify right side
    11,242,553,871x = 305,000,266,903,629,725,696
  5. Step 5: Solve for x
    x = 305,000,266,903,629,725,696/11,242,553,871
  6. Step 6: Final answer
    x = 27,129,090,987.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.