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Finding the Third Proportional to 4,694,807 and 10,286,284

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Solution

The third proportional to 4,694,807 and 10,286,284 is: 22,537,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694,807 : 10,286,284 = 10,286,284 : x
  2. Step 2: Convert to fraction form
    4,694,807/10,286,284 = 10,286,284/x
  3. Step 3: Cross multiply
    4,694,807x = 10,286,284 × 10,286,284
  4. Step 4: Simplify right side
    4,694,807x = 105,807,638,528,656
  5. Step 5: Solve for x
    x = 105,807,638,528,656/4,694,807
  6. Step 6: Final answer
    x = 22,537,164.69

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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.