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Finding the Third Proportional to 11,242,553,865 and 17,464,256,829

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Solution

The third proportional to 11,242,553,865 and 17,464,256,829 is: 27,129,090,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242,553,865 : 17,464,256,829 = 17,464,256,829 : x
  2. Step 2: Convert to fraction form
    11,242,553,865/17,464,256,829 = 17,464,256,829/x
  3. Step 3: Cross multiply
    11,242,553,865x = 17,464,256,829 × 17,464,256,829
  4. Step 4: Simplify right side
    11,242,553,865x = 305,000,266,589,273,128,960
  5. Step 5: Solve for x
    x = 305,000,266,589,273,128,960/11,242,553,865
  6. Step 6: Final answer
    x = 27,129,090,974.50

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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.