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Finding the Third Proportional to 724,369,007 and 1,571,235,034

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Solution

The third proportional to 724,369,007 and 1,571,235,034 is: 3,408,179,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,369,007 : 1,571,235,034 = 1,571,235,034 : x
  2. Step 2: Convert to fraction form
    724,369,007/1,571,235,034 = 1,571,235,034/x
  3. Step 3: Cross multiply
    724,369,007x = 1,571,235,034 × 1,571,235,034
  4. Step 4: Simplify right side
    724,369,007x = 2,468,779,532,068,981,248
  5. Step 5: Solve for x
    x = 2,468,779,532,068,981,248/724,369,007
  6. Step 6: Final answer
    x = 3,408,179,406.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.