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Finding the Third Proportional to 4,050,423 and 8,643,222

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Solution

The third proportional to 4,050,423 and 8,643,222 is: 18,443,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050,423 : 8,643,222 = 8,643,222 : x
  2. Step 2: Convert to fraction form
    4,050,423/8,643,222 = 8,643,222/x
  3. Step 3: Cross multiply
    4,050,423x = 8,643,222 × 8,643,222
  4. Step 4: Simplify right side
    4,050,423x = 74,705,286,541,284
  5. Step 5: Solve for x
    x = 74,705,286,541,284/4,050,423
  6. Step 6: Final answer
    x = 18,443,823.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.