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Finding the Third Proportional to 46,470,914 and 101,001,652

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Solution

The third proportional to 46,470,914 and 101,001,652 is: 219,520,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470,914 : 101,001,652 = 101,001,652 : x
  2. Step 2: Convert to fraction form
    46,470,914/101,001,652 = 101,001,652/x
  3. Step 3: Cross multiply
    46,470,914x = 101,001,652 × 101,001,652
  4. Step 4: Simplify right side
    46,470,914x = 10,201,333,706,729,104
  5. Step 5: Solve for x
    x = 10,201,333,706,729,104/46,470,914
  6. Step 6: Final answer
    x = 219,520,832.04

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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.