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Finding the Third Proportional to 234,119,673 and 514,587,006

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Solution

The third proportional to 234,119,673 and 514,587,006 is: 1,131,044,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,119,673 : 514,587,006 = 514,587,006 : x
  2. Step 2: Convert to fraction form
    234,119,673/514,587,006 = 514,587,006/x
  3. Step 3: Cross multiply
    234,119,673x = 514,587,006 × 514,587,006
  4. Step 4: Simplify right side
    234,119,673x = 264,799,786,744,044,032
  5. Step 5: Solve for x
    x = 264,799,786,744,044,032/234,119,673
  6. Step 6: Final answer
    x = 1,131,044,577.98

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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.