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Finding the Third Proportional to 5,415,411 and 11,893,764

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Solution

The third proportional to 5,415,411 and 11,893,764 is: 26,122,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,411 : 11,893,764 = 11,893,764 : x
  2. Step 2: Convert to fraction form
    5,415,411/11,893,764 = 11,893,764/x
  3. Step 3: Cross multiply
    5,415,411x = 11,893,764 × 11,893,764
  4. Step 4: Simplify right side
    5,415,411x = 141,461,622,087,696
  5. Step 5: Solve for x
    x = 141,461,622,087,696/5,415,411
  6. Step 6: Final answer
    x = 26,122,047.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.