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Finding the Third Proportional to 5,256,857,029 and 11,311,013,498

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Solution

The third proportional to 5,256,857,029 and 11,311,013,498 is: 24,337,551,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,857,029 : 11,311,013,498 = 11,311,013,498 : x
  2. Step 2: Convert to fraction form
    5,256,857,029/11,311,013,498 = 11,311,013,498/x
  3. Step 3: Cross multiply
    5,256,857,029x = 11,311,013,498 × 11,311,013,498
  4. Step 4: Simplify right side
    5,256,857,029x = 127,939,026,351,938,191,360
  5. Step 5: Solve for x
    x = 127,939,026,351,938,191,360/5,256,857,029
  6. Step 6: Final answer
    x = 24,337,551,058.77

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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.