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Finding the Third Proportional to 530,863,827.75 and 824,245,602.75

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Solution

The third proportional to 530,863,827.75 and 824,245,602.75 is: 1,279,764,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,863,827.75 : 824,245,602.75 = 824,245,602.75 : x
  2. Step 2: Convert to fraction form
    530,863,827.75/824,245,602.75 = 824,245,602.75/x
  3. Step 3: Cross multiply
    530,863,827.75x = 824,245,602.75 × 824,245,602.75
  4. Step 4: Simplify right side
    530,863,827.75x = 679,380,813,652,710,784
  5. Step 5: Solve for x
    x = 679,380,813,652,710,784/530,863,827.75
  6. Step 6: Final answer
    x = 1,279,764,749.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.