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Finding the Third Proportional to 65,239,993 and 103,645,718

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Solution

The third proportional to 65,239,993 and 103,645,718 is: 164,660,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,993 : 103,645,718 = 103,645,718 : x
  2. Step 2: Convert to fraction form
    65,239,993/103,645,718 = 103,645,718/x
  3. Step 3: Cross multiply
    65,239,993x = 103,645,718 × 103,645,718
  4. Step 4: Simplify right side
    65,239,993x = 10,742,434,859,735,524
  5. Step 5: Solve for x
    x = 10,742,434,859,735,524/65,239,993
  6. Step 6: Final answer
    x = 164,660,269.96

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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.