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Finding the Third Proportional to 11,569,800 and 24,036,402

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Solution

The third proportional to 11,569,800 and 24,036,402 is: 49,935,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569,800 : 24,036,402 = 24,036,402 : x
  2. Step 2: Convert to fraction form
    11,569,800/24,036,402 = 24,036,402/x
  3. Step 3: Cross multiply
    11,569,800x = 24,036,402 × 24,036,402
  4. Step 4: Simplify right side
    11,569,800x = 577,748,621,105,604
  5. Step 5: Solve for x
    x = 577,748,621,105,604/11,569,800
  6. Step 6: Final answer
    x = 49,935,921.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.