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Finding the Third Proportional to 486,762,961,788 and 1,040,514,421,752

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Solution

The third proportional to 486,762,961,788 and 1,040,514,421,752 is: 2,224,224,821,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,762,961,788 : 1,040,514,421,752 = 1,040,514,421,752 : x
  2. Step 2: Convert to fraction form
    486,762,961,788/1,040,514,421,752 = 1,040,514,421,752/x
  3. Step 3: Cross multiply
    486,762,961,788x = 1,040,514,421,752 × 1,040,514,421,752
  4. Step 4: Simplify right side
    486,762,961,788x = 1,082,670,261,873,898,902,519,808
  5. Step 5: Solve for x
    x = 1,082,670,261,873,898,902,519,808/486,762,961,788
  6. Step 6: Final answer
    x = 2,224,224,821,660.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.