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Finding the Third Proportional to 120,770,904 and 260,663,424

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Solution

The third proportional to 120,770,904 and 260,663,424 is: 562,597,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770,904 : 260,663,424 = 260,663,424 : x
  2. Step 2: Convert to fraction form
    120,770,904/260,663,424 = 260,663,424/x
  3. Step 3: Cross multiply
    120,770,904x = 260,663,424 × 260,663,424
  4. Step 4: Simplify right side
    120,770,904x = 67,945,420,611,403,776
  5. Step 5: Solve for x
    x = 67,945,420,611,403,776/120,770,904
  6. Step 6: Final answer
    x = 562,597,598.93

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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.