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Finding the Third Proportional to 13,861,294,898 and 30,262,640,854

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Solution

The third proportional to 13,861,294,898 and 30,262,640,854 is: 66,070,842,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861,294,898 : 30,262,640,854 = 30,262,640,854 : x
  2. Step 2: Convert to fraction form
    13,861,294,898/30,262,640,854 = 30,262,640,854/x
  3. Step 3: Cross multiply
    13,861,294,898x = 30,262,640,854 × 30,262,640,854
  4. Step 4: Simplify right side
    13,861,294,898x = 915,827,431,458,189,869,056
  5. Step 5: Solve for x
    x = 915,827,431,458,189,869,056/13,861,294,898
  6. Step 6: Final answer
    x = 66,070,842,457.17

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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.