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Finding the Third Proportional to 9,827,001 and 21,263,634

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Solution

The third proportional to 9,827,001 and 21,263,634 is: 46,010,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,001 : 21,263,634 = 21,263,634 : x
  2. Step 2: Convert to fraction form
    9,827,001/21,263,634 = 21,263,634/x
  3. Step 3: Cross multiply
    9,827,001x = 21,263,634 × 21,263,634
  4. Step 4: Simplify right side
    9,827,001x = 452,142,130,885,956
  5. Step 5: Solve for x
    x = 452,142,130,885,956/9,827,001
  6. Step 6: Final answer
    x = 46,010,184.68

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Why These Related Problems?

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