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Finding the Third Proportional to 6,488,670 and 14,118,972

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Solution

The third proportional to 6,488,670 and 14,118,972 is: 30,722,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,670 : 14,118,972 = 14,118,972 : x
  2. Step 2: Convert to fraction form
    6,488,670/14,118,972 = 14,118,972/x
  3. Step 3: Cross multiply
    6,488,670x = 14,118,972 × 14,118,972
  4. Step 4: Simplify right side
    6,488,670x = 199,345,370,336,784
  5. Step 5: Solve for x
    x = 199,345,370,336,784/6,488,670
  6. Step 6: Final answer
    x = 30,722,069.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.