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Finding the Third Proportional to 6,784,952 and 14,632,756

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Solution

The third proportional to 6,784,952 and 14,632,756 is: 31,557,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,952 : 14,632,756 = 14,632,756 : x
  2. Step 2: Convert to fraction form
    6,784,952/14,632,756 = 14,632,756/x
  3. Step 3: Cross multiply
    6,784,952x = 14,632,756 × 14,632,756
  4. Step 4: Simplify right side
    6,784,952x = 214,117,548,155,536
  5. Step 5: Solve for x
    x = 214,117,548,155,536/6,784,952
  6. Step 6: Final answer
    x = 31,557,710.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.