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Finding the Third Proportional to 11,954,103,301.50 and 26,160,097,627.50

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Solution

The third proportional to 11,954,103,301.50 and 26,160,097,627.50 is: 57,248,184,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954,103,301.50 : 26,160,097,627.50 = 26,160,097,627.50 : x
  2. Step 2: Convert to fraction form
    11,954,103,301.50/26,160,097,627.50 = 26,160,097,627.50/x
  3. Step 3: Cross multiply
    11,954,103,301.50x = 26,160,097,627.50 × 26,160,097,627.50
  4. Step 4: Simplify right side
    11,954,103,301.50x = 684,350,707,880,331,182,080
  5. Step 5: Solve for x
    x = 684,350,707,880,331,182,080/11,954,103,301.50
  6. Step 6: Final answer
    x = 57,248,184,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.