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Finding the Third Proportional to 13,861,294,896 and 30,262,640,850

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Solution

The third proportional to 13,861,294,896 and 30,262,640,850 is: 66,070,842,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861,294,896 : 30,262,640,850 = 30,262,640,850 : x
  2. Step 2: Convert to fraction form
    13,861,294,896/30,262,640,850 = 30,262,640,850/x
  3. Step 3: Cross multiply
    13,861,294,896x = 30,262,640,850 × 30,262,640,850
  4. Step 4: Simplify right side
    13,861,294,896x = 915,827,431,216,088,743,936
  5. Step 5: Solve for x
    x = 915,827,431,216,088,743,936/13,861,294,896
  6. Step 6: Final answer
    x = 66,070,842,449.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.