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Finding the Third Proportional to 628,654,044.38 and 1,322,468,663.63

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Solution

The third proportional to 628,654,044.38 and 1,322,468,663.63 is: 2,782,012,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,654,044.38 : 1,322,468,663.63 = 1,322,468,663.63 : x
  2. Step 2: Convert to fraction form
    628,654,044.38/1,322,468,663.63 = 1,322,468,663.63/x
  3. Step 3: Cross multiply
    628,654,044.38x = 1,322,468,663.63 × 1,322,468,663.63
  4. Step 4: Simplify right side
    628,654,044.38x = 1,748,923,366,270,093,312
  5. Step 5: Solve for x
    x = 1,748,923,366,270,093,312/628,654,044.38
  6. Step 6: Final answer
    x = 2,782,012,431.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.