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Finding the Third Proportional to 6,283,517,352 and 9,370,786,099

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Solution

The third proportional to 6,283,517,352 and 9,370,786,099 is: 13,974,916,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,517,352 : 9,370,786,099 = 9,370,786,099 : x
  2. Step 2: Convert to fraction form
    6,283,517,352/9,370,786,099 = 9,370,786,099/x
  3. Step 3: Cross multiply
    6,283,517,352x = 9,370,786,099 × 9,370,786,099
  4. Step 4: Simplify right side
    6,283,517,352x = 87,811,632,113,211,637,760
  5. Step 5: Solve for x
    x = 87,811,632,113,211,637,760/6,283,517,352
  6. Step 6: Final answer
    x = 13,974,916,785.30

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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.