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Finding the Third Proportional to 234,421,906 and 510,501,787

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Solution

The third proportional to 234,421,906 and 510,501,787 is: 1,111,722,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,421,906 : 510,501,787 = 510,501,787 : x
  2. Step 2: Convert to fraction form
    234,421,906/510,501,787 = 510,501,787/x
  3. Step 3: Cross multiply
    234,421,906x = 510,501,787 × 510,501,787
  4. Step 4: Simplify right side
    234,421,906x = 260,612,074,530,193,376
  5. Step 5: Solve for x
    x = 260,612,074,530,193,376/234,421,906
  6. Step 6: Final answer
    x = 1,111,722,359.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.