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Finding the Third Proportional to 384,609,624 and 907,008,252

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Solution

The third proportional to 384,609,624 and 907,008,252 is: 2,138,958,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,609,624 : 907,008,252 = 907,008,252 : x
  2. Step 2: Convert to fraction form
    384,609,624/907,008,252 = 907,008,252/x
  3. Step 3: Cross multiply
    384,609,624x = 907,008,252 × 907,008,252
  4. Step 4: Simplify right side
    384,609,624x = 822,663,969,196,095,488
  5. Step 5: Solve for x
    x = 822,663,969,196,095,488/384,609,624
  6. Step 6: Final answer
    x = 2,138,958,356.37

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