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Finding the Third Proportional to 384,675,912 and 907,172,604

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Solution

The third proportional to 384,675,912 and 907,172,604 is: 2,139,364,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675,912 : 907,172,604 = 907,172,604 : x
  2. Step 2: Convert to fraction form
    384,675,912/907,172,604 = 907,172,604/x
  3. Step 3: Cross multiply
    384,675,912x = 907,172,604 × 907,172,604
  4. Step 4: Simplify right side
    384,675,912x = 822,962,133,448,140,800
  5. Step 5: Solve for x
    x = 822,962,133,448,140,800/384,675,912
  6. Step 6: Final answer
    x = 2,139,364,872.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.