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Finding the Third Proportional to 3,896,403,619.50 and 8,507,019,231

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Solution

The third proportional to 3,896,403,619.50 and 8,507,019,231 is: 18,573,377,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896,403,619.50 : 8,507,019,231 = 8,507,019,231 : x
  2. Step 2: Convert to fraction form
    3,896,403,619.50/8,507,019,231 = 8,507,019,231/x
  3. Step 3: Cross multiply
    3,896,403,619.50x = 8,507,019,231 × 8,507,019,231
  4. Step 4: Simplify right side
    3,896,403,619.50x = 72,369,376,196,603,830,272
  5. Step 5: Solve for x
    x = 72,369,376,196,603,830,272/3,896,403,619.50
  6. Step 6: Final answer
    x = 18,573,377,725.66

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Why These Related Problems?

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