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Finding the Third Proportional to 4,867,265 and 7,634,955

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Solution

The third proportional to 4,867,265 and 7,634,955 is: 11,976,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,265 : 7,634,955 = 7,634,955 : x
  2. Step 2: Convert to fraction form
    4,867,265/7,634,955 = 7,634,955/x
  3. Step 3: Cross multiply
    4,867,265x = 7,634,955 × 7,634,955
  4. Step 4: Simplify right side
    4,867,265x = 58,292,537,852,025
  5. Step 5: Solve for x
    x = 58,292,537,852,025/4,867,265
  6. Step 6: Final answer
    x = 11,976,446.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.