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Finding the Third Proportional to 46,119,883 and 70,742,801

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Solution

The third proportional to 46,119,883 and 70,742,801 is: 108,511,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,119,883 : 70,742,801 = 70,742,801 : x
  2. Step 2: Convert to fraction form
    46,119,883/70,742,801 = 70,742,801/x
  3. Step 3: Cross multiply
    46,119,883x = 70,742,801 × 70,742,801
  4. Step 4: Simplify right side
    46,119,883x = 5,004,543,893,325,601
  5. Step 5: Solve for x
    x = 5,004,543,893,325,601/46,119,883
  6. Step 6: Final answer
    x = 108,511,634.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.