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Finding the Third Proportional to 9,827,424 and 21,264,576

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Solution

The third proportional to 9,827,424 and 21,264,576 is: 46,012,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,424 : 21,264,576 = 21,264,576 : x
  2. Step 2: Convert to fraction form
    9,827,424/21,264,576 = 21,264,576/x
  3. Step 3: Cross multiply
    9,827,424x = 21,264,576 × 21,264,576
  4. Step 4: Simplify right side
    9,827,424x = 452,182,192,459,776
  5. Step 5: Solve for x
    x = 452,182,192,459,776/9,827,424
  6. Step 6: Final answer
    x = 46,012,280.78

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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.