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Finding the Third Proportional to 10,592,476 and 22,456,090

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Solution

The third proportional to 10,592,476 and 22,456,090 is: 47,606,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592,476 : 22,456,090 = 22,456,090 : x
  2. Step 2: Convert to fraction form
    10,592,476/22,456,090 = 22,456,090/x
  3. Step 3: Cross multiply
    10,592,476x = 22,456,090 × 22,456,090
  4. Step 4: Simplify right side
    10,592,476x = 504,275,978,088,100
  5. Step 5: Solve for x
    x = 504,275,978,088,100/10,592,476
  6. Step 6: Final answer
    x = 47,606,997.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.