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Finding the Third Proportional to 34,296,742,018 and 74,292,541,184

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Solution

The third proportional to 34,296,742,018 and 74,292,541,184 is: 160,930,203,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296,742,018 : 74,292,541,184 = 74,292,541,184 : x
  2. Step 2: Convert to fraction form
    34,296,742,018/74,292,541,184 = 74,292,541,184/x
  3. Step 3: Cross multiply
    34,296,742,018x = 74,292,541,184 × 74,292,541,184
  4. Step 4: Simplify right side
    34,296,742,018x = 5,519,381,675,576,336,056,320
  5. Step 5: Solve for x
    x = 5,519,381,675,576,336,056,320/34,296,742,018
  6. Step 6: Final answer
    x = 160,930,203,594.25

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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.