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Finding the Third Proportional to 14,489,942,643 and 31,306,396,932

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Solution

The third proportional to 14,489,942,643 and 31,306,396,932 is: 67,639,362,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489,942,643 : 31,306,396,932 = 31,306,396,932 : x
  2. Step 2: Convert to fraction form
    14,489,942,643/31,306,396,932 = 31,306,396,932/x
  3. Step 3: Cross multiply
    14,489,942,643x = 31,306,396,932 × 31,306,396,932
  4. Step 4: Simplify right side
    14,489,942,643x = 980,090,488,863,938,969,600
  5. Step 5: Solve for x
    x = 980,090,488,863,938,969,600/14,489,942,643
  6. Step 6: Final answer
    x = 67,639,362,902.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.