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Finding the Third Proportional to 524,770,159 and 1,214,875,083

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Solution

The third proportional to 524,770,159 and 1,214,875,083 is: 2,812,510,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,159 : 1,214,875,083 = 1,214,875,083 : x
  2. Step 2: Convert to fraction form
    524,770,159/1,214,875,083 = 1,214,875,083/x
  3. Step 3: Cross multiply
    524,770,159x = 1,214,875,083 × 1,214,875,083
  4. Step 4: Simplify right side
    524,770,159x = 1,475,921,467,294,256,896
  5. Step 5: Solve for x
    x = 1,475,921,467,294,256,896/524,770,159
  6. Step 6: Final answer
    x = 2,812,510,280.89

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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.