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Finding the Third Proportional to 55,584,096 and 120,736,803

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Solution

The third proportional to 55,584,096 and 120,736,803 is: 262,258,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584,096 : 120,736,803 = 120,736,803 : x
  2. Step 2: Convert to fraction form
    55,584,096/120,736,803 = 120,736,803/x
  3. Step 3: Cross multiply
    55,584,096x = 120,736,803 × 120,736,803
  4. Step 4: Simplify right side
    55,584,096x = 14,577,375,598,660,808
  5. Step 5: Solve for x
    x = 14,577,375,598,660,808/55,584,096
  6. Step 6: Final answer
    x = 262,258,031.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.