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Finding the Third Proportional to 10,012,272 and 21,533,576

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Solution

The third proportional to 10,012,272 and 21,533,576 is: 46,312,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,272 : 21,533,576 = 21,533,576 : x
  2. Step 2: Convert to fraction form
    10,012,272/21,533,576 = 21,533,576/x
  3. Step 3: Cross multiply
    10,012,272x = 21,533,576 × 21,533,576
  4. Step 4: Simplify right side
    10,012,272x = 463,694,895,347,776
  5. Step 5: Solve for x
    x = 463,694,895,347,776/10,012,272
  6. Step 6: Final answer
    x = 46,312,654.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.