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Finding the Third Proportional to 1,500,138,574 and 3,230,685,252

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Solution

The third proportional to 1,500,138,574 and 3,230,685,252 is: 6,957,575,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,138,574 : 3,230,685,252 = 3,230,685,252 : x
  2. Step 2: Convert to fraction form
    1,500,138,574/3,230,685,252 = 3,230,685,252/x
  3. Step 3: Cross multiply
    1,500,138,574x = 3,230,685,252 × 3,230,685,252
  4. Step 4: Simplify right side
    1,500,138,574x = 10,437,327,197,490,302,976
  5. Step 5: Solve for x
    x = 10,437,327,197,490,302,976/1,500,138,574
  6. Step 6: Final answer
    x = 6,957,575,372.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.