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Finding the Third Proportional to 11,049,624 and 24,106,365

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Solution

The third proportional to 11,049,624 and 24,106,365 is: 52,591,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049,624 : 24,106,365 = 24,106,365 : x
  2. Step 2: Convert to fraction form
    11,049,624/24,106,365 = 24,106,365/x
  3. Step 3: Cross multiply
    11,049,624x = 24,106,365 × 24,106,365
  4. Step 4: Simplify right side
    11,049,624x = 581,116,833,513,225
  5. Step 5: Solve for x
    x = 581,116,833,513,225/11,049,624
  6. Step 6: Final answer
    x = 52,591,548.23

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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.