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Finding the Third Proportional to 7,459,214 and 16,305,091

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Solution

The third proportional to 7,459,214 and 16,305,091 is: 35,641,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459,214 : 16,305,091 = 16,305,091 : x
  2. Step 2: Convert to fraction form
    7,459,214/16,305,091 = 16,305,091/x
  3. Step 3: Cross multiply
    7,459,214x = 16,305,091 × 16,305,091
  4. Step 4: Simplify right side
    7,459,214x = 265,855,992,518,281
  5. Step 5: Solve for x
    x = 265,855,992,518,281/7,459,214
  6. Step 6: Final answer
    x = 35,641,287.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.