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Finding the Third Proportional to 10,847,550 and 16,411,287

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Solution

The third proportional to 10,847,550 and 16,411,287 is: 24,828,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847,550 : 16,411,287 = 16,411,287 : x
  2. Step 2: Convert to fraction form
    10,847,550/16,411,287 = 16,411,287/x
  3. Step 3: Cross multiply
    10,847,550x = 16,411,287 × 16,411,287
  4. Step 4: Simplify right side
    10,847,550x = 269,330,340,996,369
  5. Step 5: Solve for x
    x = 269,330,340,996,369/10,847,550
  6. Step 6: Final answer
    x = 24,828,679.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.