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Finding the Third Proportional to 11,099,934 and 22,506,072

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Solution

The third proportional to 11,099,934 and 22,506,072 is: 45,632,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099,934 : 22,506,072 = 22,506,072 : x
  2. Step 2: Convert to fraction form
    11,099,934/22,506,072 = 22,506,072/x
  3. Step 3: Cross multiply
    11,099,934x = 22,506,072 × 22,506,072
  4. Step 4: Simplify right side
    11,099,934x = 506,523,276,869,184
  5. Step 5: Solve for x
    x = 506,523,276,869,184/11,099,934
  6. Step 6: Final answer
    x = 45,632,998.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.