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Finding the Third Proportional to 6,283,517,341 and 9,370,786,084

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Solution

The third proportional to 6,283,517,341 and 9,370,786,084 is: 13,974,916,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,517,341 : 9,370,786,084 = 9,370,786,084 : x
  2. Step 2: Convert to fraction form
    6,283,517,341/9,370,786,084 = 9,370,786,084/x
  3. Step 3: Cross multiply
    6,283,517,341x = 9,370,786,084 × 9,370,786,084
  4. Step 4: Simplify right side
    6,283,517,341x = 87,811,631,832,088,051,712
  5. Step 5: Solve for x
    x = 87,811,631,832,088,051,712/6,283,517,341
  6. Step 6: Final answer
    x = 13,974,916,765.03

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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.