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Finding the Third Proportional to 479,031,096,220 and 1,030,716,103,778

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Solution

The third proportional to 479,031,096,220 and 1,030,716,103,778 is: 2,217,759,337,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,031,096,220 : 1,030,716,103,778 = 1,030,716,103,778 : x
  2. Step 2: Convert to fraction form
    479,031,096,220/1,030,716,103,778 = 1,030,716,103,778/x
  3. Step 3: Cross multiply
    479,031,096,220x = 1,030,716,103,778 × 1,030,716,103,778
  4. Step 4: Simplify right side
    479,031,096,220x = 1,062,375,686,587,300,888,707,072
  5. Step 5: Solve for x
    x = 1,062,375,686,587,300,888,707,072/479,031,096,220
  6. Step 6: Final answer
    x = 2,217,759,337,484.42

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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.