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Finding the Third Proportional to 65,240,002 and 103,645,733

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Solution

The third proportional to 65,240,002 and 103,645,733 is: 164,660,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,002 : 103,645,733 = 103,645,733 : x
  2. Step 2: Convert to fraction form
    65,240,002/103,645,733 = 103,645,733/x
  3. Step 3: Cross multiply
    65,240,002x = 103,645,733 × 103,645,733
  4. Step 4: Simplify right side
    65,240,002x = 10,742,437,969,107,288
  5. Step 5: Solve for x
    x = 10,742,437,969,107,288/65,240,002
  6. Step 6: Final answer
    x = 164,660,294.91

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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.