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Finding the Third Proportional to 287,884,966 and 626,884,172

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Solution

The third proportional to 287,884,966 and 626,884,172 is: 1,365,072,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884,966 : 626,884,172 = 626,884,172 : x
  2. Step 2: Convert to fraction form
    287,884,966/626,884,172 = 626,884,172/x
  3. Step 3: Cross multiply
    287,884,966x = 626,884,172 × 626,884,172
  4. Step 4: Simplify right side
    287,884,966x = 392,983,765,104,125,568
  5. Step 5: Solve for x
    x = 392,983,765,104,125,568/287,884,966
  6. Step 6: Final answer
    x = 1,365,072,204.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.