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Finding the Third Proportional to 1,229,130,675 and 2,703,425,877

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Solution

The third proportional to 1,229,130,675 and 2,703,425,877 is: 5,946,081,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,130,675 : 2,703,425,877 = 2,703,425,877 : x
  2. Step 2: Convert to fraction form
    1,229,130,675/2,703,425,877 = 2,703,425,877/x
  3. Step 3: Cross multiply
    1,229,130,675x = 2,703,425,877 × 2,703,425,877
  4. Step 4: Simplify right side
    1,229,130,675x = 7,308,511,472,433,219,584
  5. Step 5: Solve for x
    x = 7,308,511,472,433,219,584/1,229,130,675
  6. Step 6: Final answer
    x = 5,946,081,747.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.