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Finding the Third Proportional to 65,239,994 and 103,645,720

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Solution

The third proportional to 65,239,994 and 103,645,720 is: 164,660,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,994 : 103,645,720 = 103,645,720 : x
  2. Step 2: Convert to fraction form
    65,239,994/103,645,720 = 103,645,720/x
  3. Step 3: Cross multiply
    65,239,994x = 103,645,720 × 103,645,720
  4. Step 4: Simplify right side
    65,239,994x = 10,742,435,274,318,400
  5. Step 5: Solve for x
    x = 10,742,435,274,318,400/65,239,994
  6. Step 6: Final answer
    x = 164,660,273.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.