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Finding the Third Proportional to 290,580,053.06 and 619,953,674.06

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Solution

The third proportional to 290,580,053.06 and 619,953,674.06 is: 1,322,673,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,580,053.06 : 619,953,674.06 = 619,953,674.06 : x
  2. Step 2: Convert to fraction form
    290,580,053.06/619,953,674.06 = 619,953,674.06/x
  3. Step 3: Cross multiply
    290,580,053.06x = 619,953,674.06 × 619,953,674.06
  4. Step 4: Simplify right side
    290,580,053.06x = 384,342,557,983,592,512
  5. Step 5: Solve for x
    x = 384,342,557,983,592,512/290,580,053.06
  6. Step 6: Final answer
    x = 1,322,673,576.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.