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Finding the Third Proportional to 157,274,665,426 and 346,606,917,284

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Solution

The third proportional to 157,274,665,426 and 346,606,917,284 is: 763,863,364,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,274,665,426 : 346,606,917,284 = 346,606,917,284 : x
  2. Step 2: Convert to fraction form
    157,274,665,426/346,606,917,284 = 346,606,917,284/x
  3. Step 3: Cross multiply
    157,274,665,426x = 346,606,917,284 × 346,606,917,284
  4. Step 4: Simplify right side
    157,274,665,426x = 120,136,355,109,117,613,834,240
  5. Step 5: Solve for x
    x = 120,136,355,109,117,613,834,240/157,274,665,426
  6. Step 6: Final answer
    x = 763,863,364,666.60

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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.