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Finding the Third Proportional to 10,421,772 and 22,963,830

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Solution

The third proportional to 10,421,772 and 22,963,830 is: 50,599,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,772 : 22,963,830 = 22,963,830 : x
  2. Step 2: Convert to fraction form
    10,421,772/22,963,830 = 22,963,830/x
  3. Step 3: Cross multiply
    10,421,772x = 22,963,830 × 22,963,830
  4. Step 4: Simplify right side
    10,421,772x = 527,337,488,268,900
  5. Step 5: Solve for x
    x = 527,337,488,268,900/10,421,772
  6. Step 6: Final answer
    x = 50,599,599.40

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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.