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Finding the Third Proportional to 51,005,763 and 110,671,314

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Solution

The third proportional to 51,005,763 and 110,671,314 is: 240,132,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005,763 : 110,671,314 = 110,671,314 : x
  2. Step 2: Convert to fraction form
    51,005,763/110,671,314 = 110,671,314/x
  3. Step 3: Cross multiply
    51,005,763x = 110,671,314 × 110,671,314
  4. Step 4: Simplify right side
    51,005,763x = 12,248,139,742,486,596
  5. Step 5: Solve for x
    x = 12,248,139,742,486,596/51,005,763
  6. Step 6: Final answer
    x = 240,132,467.82

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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.