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Finding the Third Proportional to 9,974,310.75 and 21,540,026.25

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Solution

The third proportional to 9,974,310.75 and 21,540,026.25 is: 46,516,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,310.75 : 21,540,026.25 = 21,540,026.25 : x
  2. Step 2: Convert to fraction form
    9,974,310.75/21,540,026.25 = 21,540,026.25/x
  3. Step 3: Cross multiply
    9,974,310.75x = 21,540,026.25 × 21,540,026.25
  4. Step 4: Simplify right side
    9,974,310.75x = 463,972,730,850,689.06
  5. Step 5: Solve for x
    x = 463,972,730,850,689.06/9,974,310.75
  6. Step 6: Final answer
    x = 46,516,771.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.