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Finding the Third Proportional to 74,512,292,744 and 162,510,526,294

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Solution

The third proportional to 74,512,292,744 and 162,510,526,294 is: 354,433,747,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512,292,744 : 162,510,526,294 = 162,510,526,294 : x
  2. Step 2: Convert to fraction form
    74,512,292,744/162,510,526,294 = 162,510,526,294/x
  3. Step 3: Cross multiply
    74,512,292,744x = 162,510,526,294 × 162,510,526,294
  4. Step 4: Simplify right side
    74,512,292,744x = 26,409,671,156,352,864,485,376
  5. Step 5: Solve for x
    x = 26,409,671,156,352,864,485,376/74,512,292,744
  6. Step 6: Final answer
    x = 354,433,747,557.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.