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Finding the Third Proportional to 9,827,012 and 21,263,656

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Solution

The third proportional to 9,827,012 and 21,263,656 is: 46,010,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,012 : 21,263,656 = 21,263,656 : x
  2. Step 2: Convert to fraction form
    9,827,012/21,263,656 = 21,263,656/x
  3. Step 3: Cross multiply
    9,827,012x = 21,263,656 × 21,263,656
  4. Step 4: Simplify right side
    9,827,012x = 452,143,066,486,336
  5. Step 5: Solve for x
    x = 452,143,066,486,336/9,827,012
  6. Step 6: Final answer
    x = 46,010,228.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.