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Finding the Third Proportional to 6,580,979.16 and 14,674,284

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Solution

The third proportional to 6,580,979.16 and 14,674,284 is: 32,720,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,979.16 : 14,674,284 = 14,674,284 : x
  2. Step 2: Convert to fraction form
    6,580,979.16/14,674,284 = 14,674,284/x
  3. Step 3: Cross multiply
    6,580,979.16x = 14,674,284 × 14,674,284
  4. Step 4: Simplify right side
    6,580,979.16x = 215,334,610,912,656
  5. Step 5: Solve for x
    x = 215,334,610,912,656/6,580,979.16
  6. Step 6: Final answer
    x = 32,720,755.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.