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Finding the Third Proportional to 10,543,752 and 23,021,136

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Solution

The third proportional to 10,543,752 and 23,021,136 is: 50,264,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543,752 : 23,021,136 = 23,021,136 : x
  2. Step 2: Convert to fraction form
    10,543,752/23,021,136 = 23,021,136/x
  3. Step 3: Cross multiply
    10,543,752x = 23,021,136 × 23,021,136
  4. Step 4: Simplify right side
    10,543,752x = 529,972,702,730,496
  5. Step 5: Solve for x
    x = 529,972,702,730,496/10,543,752
  6. Step 6: Final answer
    x = 50,264,147.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.