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Finding the Third Proportional to 11,982,986,464 and 26,051,735,855

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Solution

The third proportional to 11,982,986,464 and 26,051,735,855 is: 56,638,046,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982,986,464 : 26,051,735,855 = 26,051,735,855 : x
  2. Step 2: Convert to fraction form
    11,982,986,464/26,051,735,855 = 26,051,735,855/x
  3. Step 3: Cross multiply
    11,982,986,464x = 26,051,735,855 × 26,051,735,855
  4. Step 4: Simplify right side
    11,982,986,464x = 678,692,941,058,692,612,096
  5. Step 5: Solve for x
    x = 678,692,941,058,692,612,096/11,982,986,464
  6. Step 6: Final answer
    x = 56,638,046,208.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.