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Finding the Third Proportional to 626,586,176 and 1,357,310,272

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Solution

The third proportional to 626,586,176 and 1,357,310,272 is: 2,940,203,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,586,176 : 1,357,310,272 = 1,357,310,272 : x
  2. Step 2: Convert to fraction form
    626,586,176/1,357,310,272 = 1,357,310,272/x
  3. Step 3: Cross multiply
    626,586,176x = 1,357,310,272 × 1,357,310,272
  4. Step 4: Simplify right side
    626,586,176x = 1,842,291,174,476,713,984
  5. Step 5: Solve for x
    x = 1,842,291,174,476,713,984/626,586,176
  6. Step 6: Final answer
    x = 2,940,203,989.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.