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Finding the Third Proportional to 157,274,656,944 and 346,606,897,890

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Solution

The third proportional to 157,274,656,944 and 346,606,897,890 is: 763,863,320,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,274,656,944 : 346,606,897,890 = 346,606,897,890 : x
  2. Step 2: Convert to fraction form
    157,274,656,944/346,606,897,890 = 346,606,897,890/x
  3. Step 3: Cross multiply
    157,274,656,944x = 346,606,897,890 × 346,606,897,890
  4. Step 4: Simplify right side
    157,274,656,944x = 120,136,341,664,928,892,977,152
  5. Step 5: Solve for x
    x = 120,136,341,664,928,892,977,152/157,274,656,944
  6. Step 6: Final answer
    x = 763,863,320,380.38

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Why These Related Problems?

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