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Finding the Third Proportional to 7,721,247 and 16,468,454

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Solution

The third proportional to 7,721,247 and 16,468,454 is: 35,125,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721,247 : 16,468,454 = 16,468,454 : x
  2. Step 2: Convert to fraction form
    7,721,247/16,468,454 = 16,468,454/x
  3. Step 3: Cross multiply
    7,721,247x = 16,468,454 × 16,468,454
  4. Step 4: Simplify right side
    7,721,247x = 271,209,977,150,116
  5. Step 5: Solve for x
    x = 271,209,977,150,116/7,721,247
  6. Step 6: Final answer
    x = 35,125,152.34

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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.