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Finding the Third Proportional to 57,989,147,130 and 124,840,841,480

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Solution

The third proportional to 57,989,147,130 and 124,840,841,480 is: 268,761,250,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,989,147,130 : 124,840,841,480 = 124,840,841,480 : x
  2. Step 2: Convert to fraction form
    57,989,147,130/124,840,841,480 = 124,840,841,480/x
  3. Step 3: Cross multiply
    57,989,147,130x = 124,840,841,480 × 124,840,841,480
  4. Step 4: Simplify right side
    57,989,147,130x = 15,585,235,701,434,488,455,168
  5. Step 5: Solve for x
    x = 15,585,235,701,434,488,455,168/57,989,147,130
  6. Step 6: Final answer
    x = 268,761,250,557.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.