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Finding the Third Proportional to 2,473,460,124 and 5,391,362,374

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Solution

The third proportional to 2,473,460,124 and 5,391,362,374 is: 11,751,468,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,460,124 : 5,391,362,374 = 5,391,362,374 : x
  2. Step 2: Convert to fraction form
    2,473,460,124/5,391,362,374 = 5,391,362,374/x
  3. Step 3: Cross multiply
    2,473,460,124x = 5,391,362,374 × 5,391,362,374
  4. Step 4: Simplify right side
    2,473,460,124x = 29,066,788,247,782,916,096
  5. Step 5: Solve for x
    x = 29,066,788,247,782,916,096/2,473,460,124
  6. Step 6: Final answer
    x = 11,751,468,303.75

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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.