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Finding the Third Proportional to 3,564,830 and 7,423,420

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Solution

The third proportional to 3,564,830 and 7,423,420 is: 15,458,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,830 : 7,423,420 = 7,423,420 : x
  2. Step 2: Convert to fraction form
    3,564,830/7,423,420 = 7,423,420/x
  3. Step 3: Cross multiply
    3,564,830x = 7,423,420 × 7,423,420
  4. Step 4: Simplify right side
    3,564,830x = 55,107,164,496,400
  5. Step 5: Solve for x
    x = 55,107,164,496,400/3,564,830
  6. Step 6: Final answer
    x = 15,458,567.31

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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.