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Finding the Third Proportional to 52,910,064 and 113,378,352

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Solution

The third proportional to 52,910,064 and 113,378,352 is: 242,952,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,910,064 : 113,378,352 = 113,378,352 : x
  2. Step 2: Convert to fraction form
    52,910,064/113,378,352 = 113,378,352/x
  3. Step 3: Cross multiply
    52,910,064x = 113,378,352 × 113,378,352
  4. Step 4: Simplify right side
    52,910,064x = 12,854,650,702,235,904
  5. Step 5: Solve for x
    x = 12,854,650,702,235,904/52,910,064
  6. Step 6: Final answer
    x = 242,952,847.35

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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.