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Finding the Third Proportional to 2,496,678,948 and 3,672,623,286

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Solution

The third proportional to 2,496,678,948 and 3,672,623,286 is: 5,402,441,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496,678,948 : 3,672,623,286 = 3,672,623,286 : x
  2. Step 2: Convert to fraction form
    2,496,678,948/3,672,623,286 = 3,672,623,286/x
  3. Step 3: Cross multiply
    2,496,678,948x = 3,672,623,286 × 3,672,623,286
  4. Step 4: Simplify right side
    2,496,678,948x = 13,488,161,800,869,437,440
  5. Step 5: Solve for x
    x = 13,488,161,800,869,437,440/2,496,678,948
  6. Step 6: Final answer
    x = 5,402,441,435.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.