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Finding the Third Proportional to 524,770,152 and 1,214,875,068

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Solution

The third proportional to 524,770,152 and 1,214,875,068 is: 2,812,510,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,152 : 1,214,875,068 = 1,214,875,068 : x
  2. Step 2: Convert to fraction form
    524,770,152/1,214,875,068 = 1,214,875,068/x
  3. Step 3: Cross multiply
    524,770,152x = 1,214,875,068 × 1,214,875,068
  4. Step 4: Simplify right side
    524,770,152x = 1,475,921,430,848,004,608
  5. Step 5: Solve for x
    x = 1,475,921,430,848,004,608/524,770,152
  6. Step 6: Final answer
    x = 2,812,510,248.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.