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Finding the Third Proportional to 4,039,046 and 8,645,596

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Solution

The third proportional to 4,039,046 and 8,645,596 is: 18,505,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039,046 : 8,645,596 = 8,645,596 : x
  2. Step 2: Convert to fraction form
    4,039,046/8,645,596 = 8,645,596/x
  3. Step 3: Cross multiply
    4,039,046x = 8,645,596 × 8,645,596
  4. Step 4: Simplify right side
    4,039,046x = 74,746,330,195,216
  5. Step 5: Solve for x
    x = 74,746,330,195,216/4,039,046
  6. Step 6: Final answer
    x = 18,505,936.85

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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.