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Finding the Third Proportional to 10,421,786 and 22,963,900

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Solution

The third proportional to 10,421,786 and 22,963,900 is: 50,599,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,786 : 22,963,900 = 22,963,900 : x
  2. Step 2: Convert to fraction form
    10,421,786/22,963,900 = 22,963,900/x
  3. Step 3: Cross multiply
    10,421,786x = 22,963,900 × 22,963,900
  4. Step 4: Simplify right side
    10,421,786x = 527,340,703,210,000
  5. Step 5: Solve for x
    x = 527,340,703,210,000/10,421,786
  6. Step 6: Final answer
    x = 50,599,839.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.