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Finding the Third Proportional to 7,630,729 and 16,366,986

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Solution

The third proportional to 7,630,729 and 16,366,986 is: 35,105,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630,729 : 16,366,986 = 16,366,986 : x
  2. Step 2: Convert to fraction form
    7,630,729/16,366,986 = 16,366,986/x
  3. Step 3: Cross multiply
    7,630,729x = 16,366,986 × 16,366,986
  4. Step 4: Simplify right side
    7,630,729x = 267,878,230,724,196
  5. Step 5: Solve for x
    x = 267,878,230,724,196/7,630,729
  6. Step 6: Final answer
    x = 35,105,195.16

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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.