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Finding the Third Proportional to 18,845,429,442 and 40,831,549,680

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Solution

The third proportional to 18,845,429,442 and 40,831,549,680 is: 88,467,893,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,845,429,442 : 40,831,549,680 = 40,831,549,680 : x
  2. Step 2: Convert to fraction form
    18,845,429,442/40,831,549,680 = 40,831,549,680/x
  3. Step 3: Cross multiply
    18,845,429,442x = 40,831,549,680 × 40,831,549,680
  4. Step 4: Simplify right side
    18,845,429,442x = 1,667,215,449,270,308,044,800
  5. Step 5: Solve for x
    x = 1,667,215,449,270,308,044,800/18,845,429,442
  6. Step 6: Final answer
    x = 88,467,893,735.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.