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Finding the Third Proportional to 553,543,155 and 1,219,916,025

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Solution

The third proportional to 553,543,155 and 1,219,916,025 is: 2,688,489,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,543,155 : 1,219,916,025 = 1,219,916,025 : x
  2. Step 2: Convert to fraction form
    553,543,155/1,219,916,025 = 1,219,916,025/x
  3. Step 3: Cross multiply
    553,543,155x = 1,219,916,025 × 1,219,916,025
  4. Step 4: Simplify right side
    553,543,155x = 1,488,195,108,051,800,576
  5. Step 5: Solve for x
    x = 1,488,195,108,051,800,576/553,543,155
  6. Step 6: Final answer
    x = 2,688,489,767.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.