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Finding the Third Proportional to 6,630,176 and 14,280,547

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Solution

The third proportional to 6,630,176 and 14,280,547 is: 30,758,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630,176 : 14,280,547 = 14,280,547 : x
  2. Step 2: Convert to fraction form
    6,630,176/14,280,547 = 14,280,547/x
  3. Step 3: Cross multiply
    6,630,176x = 14,280,547 × 14,280,547
  4. Step 4: Simplify right side
    6,630,176x = 203,934,022,619,209
  5. Step 5: Solve for x
    x = 203,934,022,619,209/6,630,176
  6. Step 6: Final answer
    x = 30,758,462.92

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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.