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Finding the Third Proportional to 4,161,316 and 8,943,416

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Solution

The third proportional to 4,161,316 and 8,943,416 is: 19,221,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161,316 : 8,943,416 = 8,943,416 : x
  2. Step 2: Convert to fraction form
    4,161,316/8,943,416 = 8,943,416/x
  3. Step 3: Cross multiply
    4,161,316x = 8,943,416 × 8,943,416
  4. Step 4: Simplify right side
    4,161,316x = 79,984,689,749,056
  5. Step 5: Solve for x
    x = 79,984,689,749,056/4,161,316
  6. Step 6: Final answer
    x = 19,221,008.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.