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Finding the Third Proportional to 7,637,634,432 and 11,409,414,192

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Solution

The third proportional to 7,637,634,432 and 11,409,414,192 is: 17,043,854,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637,634,432 : 11,409,414,192 = 11,409,414,192 : x
  2. Step 2: Convert to fraction form
    7,637,634,432/11,409,414,192 = 11,409,414,192/x
  3. Step 3: Cross multiply
    7,637,634,432x = 11,409,414,192 × 11,409,414,192
  4. Step 4: Simplify right side
    7,637,634,432x = 130,174,732,204,611,010,560
  5. Step 5: Solve for x
    x = 130,174,732,204,611,010,560/7,637,634,432
  6. Step 6: Final answer
    x = 17,043,854,790.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.