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Finding the Third Proportional to 7,461,009 and 16,490,339

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Solution

The third proportional to 7,461,009 and 16,490,339 is: 36,446,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,009 : 16,490,339 = 16,490,339 : x
  2. Step 2: Convert to fraction form
    7,461,009/16,490,339 = 16,490,339/x
  3. Step 3: Cross multiply
    7,461,009x = 16,490,339 × 16,490,339
  4. Step 4: Simplify right side
    7,461,009x = 271,931,280,334,921
  5. Step 5: Solve for x
    x = 271,931,280,334,921/7,461,009
  6. Step 6: Final answer
    x = 36,446,984.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.