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Finding the Third Proportional to 10,226,421 and 22,377,037

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Solution

The third proportional to 10,226,421 and 22,377,037 is: 48,964,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,421 : 22,377,037 = 22,377,037 : x
  2. Step 2: Convert to fraction form
    10,226,421/22,377,037 = 22,377,037/x
  3. Step 3: Cross multiply
    10,226,421x = 22,377,037 × 22,377,037
  4. Step 4: Simplify right side
    10,226,421x = 500,731,784,899,369
  5. Step 5: Solve for x
    x = 500,731,784,899,369/10,226,421
  6. Step 6: Final answer
    x = 48,964,518.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.