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Finding the Third Proportional to 7,676,590.13 and 16,416,062.25

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Solution

The third proportional to 7,676,590.13 and 16,416,062.25 is: 35,105,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,590.13 : 16,416,062.25 = 16,416,062.25 : x
  2. Step 2: Convert to fraction form
    7,676,590.13/16,416,062.25 = 16,416,062.25/x
  3. Step 3: Cross multiply
    7,676,590.13x = 16,416,062.25 × 16,416,062.25
  4. Step 4: Simplify right side
    7,676,590.13x = 269,487,099,795,875.06
  5. Step 5: Solve for x
    x = 269,487,099,795,875.06/7,676,590.13
  6. Step 6: Final answer
    x = 35,105,052.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.