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Finding the Third Proportional to 2,358,493.50 and 5,053,341

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Solution

The third proportional to 2,358,493.50 and 5,053,341 is: 10,827,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,493.50 : 5,053,341 = 5,053,341 : x
  2. Step 2: Convert to fraction form
    2,358,493.50/5,053,341 = 5,053,341/x
  3. Step 3: Cross multiply
    2,358,493.50x = 5,053,341 × 5,053,341
  4. Step 4: Simplify right side
    2,358,493.50x = 25,536,255,262,281
  5. Step 5: Solve for x
    x = 25,536,255,262,281/2,358,493.50
  6. Step 6: Final answer
    x = 10,827,358.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.