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Finding the Third Proportional to 474,837,952,516 and 1,024,058,539,400

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Solution

The third proportional to 474,837,952,516 and 1,024,058,539,400 is: 2,208,534,272,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,837,952,516 : 1,024,058,539,400 = 1,024,058,539,400 : x
  2. Step 2: Convert to fraction form
    474,837,952,516/1,024,058,539,400 = 1,024,058,539,400/x
  3. Step 3: Cross multiply
    474,837,952,516x = 1,024,058,539,400 × 1,024,058,539,400
  4. Step 4: Simplify right side
    474,837,952,516x = 1,048,695,892,118,061,350,649,856
  5. Step 5: Solve for x
    x = 1,048,695,892,118,061,350,649,856/474,837,952,516
  6. Step 6: Final answer
    x = 2,208,534,272,716.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.