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Finding the Third Proportional to 6,283,517,396 and 9,370,786,164

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Solution

The third proportional to 6,283,517,396 and 9,370,786,164 is: 13,974,916,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,517,396 : 9,370,786,164 = 9,370,786,164 : x
  2. Step 2: Convert to fraction form
    6,283,517,396/9,370,786,164 = 9,370,786,164/x
  3. Step 3: Cross multiply
    6,283,517,396x = 9,370,786,164 × 9,370,786,164
  4. Step 4: Simplify right side
    6,283,517,396x = 87,811,633,331,413,827,584
  5. Step 5: Solve for x
    x = 87,811,633,331,413,827,584/6,283,517,396
  6. Step 6: Final answer
    x = 13,974,916,881.32

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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.