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Finding the Third Proportional to 55,952,226 and 120,407,510

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Solution

The third proportional to 55,952,226 and 120,407,510 is: 259,113,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952,226 : 120,407,510 = 120,407,510 : x
  2. Step 2: Convert to fraction form
    55,952,226/120,407,510 = 120,407,510/x
  3. Step 3: Cross multiply
    55,952,226x = 120,407,510 × 120,407,510
  4. Step 4: Simplify right side
    55,952,226x = 14,497,968,464,400,100
  5. Step 5: Solve for x
    x = 14,497,968,464,400,100/55,952,226
  6. Step 6: Final answer
    x = 259,113,345.45

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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.