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Finding the Third Proportional to 125,961,794,974 and 277,598,615,418

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Solution

The third proportional to 125,961,794,974 and 277,598,615,418 is: 611,780,669,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,961,794,974 : 277,598,615,418 = 277,598,615,418 : x
  2. Step 2: Convert to fraction form
    125,961,794,974/277,598,615,418 = 277,598,615,418/x
  3. Step 3: Cross multiply
    125,961,794,974x = 277,598,615,418 × 277,598,615,418
  4. Step 4: Simplify right side
    125,961,794,974x = 77,060,991,281,990,675,202,048
  5. Step 5: Solve for x
    x = 77,060,991,281,990,675,202,048/125,961,794,974
  6. Step 6: Final answer
    x = 611,780,669,669.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.