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Finding the Third Proportional to 12,174,240,751 and 26,180,662,872

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Solution

The third proportional to 12,174,240,751 and 26,180,662,872 is: 56,301,425,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174,240,751 : 26,180,662,872 = 26,180,662,872 : x
  2. Step 2: Convert to fraction form
    12,174,240,751/26,180,662,872 = 26,180,662,872/x
  3. Step 3: Cross multiply
    12,174,240,751x = 26,180,662,872 × 26,180,662,872
  4. Step 4: Simplify right side
    12,174,240,751x = 685,427,108,417,319,337,984
  5. Step 5: Solve for x
    x = 685,427,108,417,319,337,984/12,174,240,751
  6. Step 6: Final answer
    x = 56,301,425,479.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.