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Finding the Third Proportional to 1,537,328,634,564 and 3,306,019,942,542

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Solution

The third proportional to 1,537,328,634,564 and 3,306,019,942,542 is: 7,109,584,518,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,328,634,564 : 3,306,019,942,542 = 3,306,019,942,542 : x
  2. Step 2: Convert to fraction form
    1,537,328,634,564/3,306,019,942,542 = 3,306,019,942,542/x
  3. Step 3: Cross multiply
    1,537,328,634,564x = 3,306,019,942,542 × 3,306,019,942,542
  4. Step 4: Simplify right side
    1,537,328,634,564x = 10,929,767,860,485,409,753,530,368
  5. Step 5: Solve for x
    x = 10,929,767,860,485,409,753,530,368/1,537,328,634,564
  6. Step 6: Final answer
    x = 7,109,584,518,722.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.