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Finding the Third Proportional to 65,240,015 and 103,645,751

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Solution

The third proportional to 65,240,015 and 103,645,751 is: 164,660,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,015 : 103,645,751 = 103,645,751 : x
  2. Step 2: Convert to fraction form
    65,240,015/103,645,751 = 103,645,751/x
  3. Step 3: Cross multiply
    65,240,015x = 103,645,751 × 103,645,751
  4. Step 4: Simplify right side
    65,240,015x = 10,742,441,700,354,000
  5. Step 5: Solve for x
    x = 10,742,441,700,354,000/65,240,015
  6. Step 6: Final answer
    x = 164,660,319.29

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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.