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Finding the Third Proportional to 7,838,784 and 16,878,845.81

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Solution

The third proportional to 7,838,784 and 16,878,845.81 is: 36,344,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,784 : 16,878,845.81 = 16,878,845.81 : x
  2. Step 2: Convert to fraction form
    7,838,784/16,878,845.81 = 16,878,845.81/x
  3. Step 3: Cross multiply
    7,838,784x = 16,878,845.81 × 16,878,845.81
  4. Step 4: Simplify right side
    7,838,784x = 284,895,435,962,148.81
  5. Step 5: Solve for x
    x = 284,895,435,962,148.81/7,838,784
  6. Step 6: Final answer
    x = 36,344,340.65

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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.