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Finding the Third Proportional to 14,770,678 and 23,732,369

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Solution

The third proportional to 14,770,678 and 23,732,369 is: 38,131,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770,678 : 23,732,369 = 23,732,369 : x
  2. Step 2: Convert to fraction form
    14,770,678/23,732,369 = 23,732,369/x
  3. Step 3: Cross multiply
    14,770,678x = 23,732,369 × 23,732,369
  4. Step 4: Simplify right side
    14,770,678x = 563,225,338,352,161
  5. Step 5: Solve for x
    x = 563,225,338,352,161/14,770,678
  6. Step 6: Final answer
    x = 38,131,312.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.