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Finding the Third Proportional to 34,068,843,903 and 74,549,257,751

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Solution

The third proportional to 34,068,843,903 and 74,549,257,751 is: 163,128,277,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068,843,903 : 74,549,257,751 = 74,549,257,751 : x
  2. Step 2: Convert to fraction form
    34,068,843,903/74,549,257,751 = 74,549,257,751/x
  3. Step 3: Cross multiply
    34,068,843,903x = 74,549,257,751 × 74,549,257,751
  4. Step 4: Simplify right side
    34,068,843,903x = 5,557,591,831,225,033,555,968
  5. Step 5: Solve for x
    x = 5,557,591,831,225,033,555,968/34,068,843,903
  6. Step 6: Final answer
    x = 163,128,277,761.60

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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.