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Finding the Third Proportional to 185,102,510,714 and 375,409,682,762

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Solution

The third proportional to 185,102,510,714 and 375,409,682,762 is: 761,375,031,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,102,510,714 : 375,409,682,762 = 375,409,682,762 : x
  2. Step 2: Convert to fraction form
    185,102,510,714/375,409,682,762 = 375,409,682,762/x
  3. Step 3: Cross multiply
    185,102,510,714x = 375,409,682,762 × 375,409,682,762
  4. Step 4: Simplify right side
    185,102,510,714x = 140,932,429,911,465,473,867,776
  5. Step 5: Solve for x
    x = 140,932,429,911,465,473,867,776/185,102,510,714
  6. Step 6: Final answer
    x = 761,375,031,423.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.