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Finding the Third Proportional to 2,921,887,256 and 6,257,501,412

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Solution

The third proportional to 2,921,887,256 and 6,257,501,412 is: 13,401,038,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921,887,256 : 6,257,501,412 = 6,257,501,412 : x
  2. Step 2: Convert to fraction form
    2,921,887,256/6,257,501,412 = 6,257,501,412/x
  3. Step 3: Cross multiply
    2,921,887,256x = 6,257,501,412 × 6,257,501,412
  4. Step 4: Simplify right side
    2,921,887,256x = 39,156,323,921,181,990,912
  5. Step 5: Solve for x
    x = 39,156,323,921,181,990,912/2,921,887,256
  6. Step 6: Final answer
    x = 13,401,038,606.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.