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Finding the Third Proportional to 151,768,456,044 and 337,470,172,752

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Solution

The third proportional to 151,768,456,044 and 337,470,172,752 is: 750,393,859,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,768,456,044 : 337,470,172,752 = 337,470,172,752 : x
  2. Step 2: Convert to fraction form
    151,768,456,044/337,470,172,752 = 337,470,172,752/x
  3. Step 3: Cross multiply
    151,768,456,044x = 337,470,172,752 × 337,470,172,752
  4. Step 4: Simplify right side
    151,768,456,044x = 113,886,117,497,264,729,489,408
  5. Step 5: Solve for x
    x = 113,886,117,497,264,729,489,408/151,768,456,044
  6. Step 6: Final answer
    x = 750,393,859,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.