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Finding the Third Proportional to 65,240,018 and 103,645,755

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Solution

The third proportional to 65,240,018 and 103,645,755 is: 164,660,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,018 : 103,645,755 = 103,645,755 : x
  2. Step 2: Convert to fraction form
    65,240,018/103,645,755 = 103,645,755/x
  3. Step 3: Cross multiply
    65,240,018x = 103,645,755 × 103,645,755
  4. Step 4: Simplify right side
    65,240,018x = 10,742,442,529,520,024
  5. Step 5: Solve for x
    x = 10,742,442,529,520,024/65,240,018
  6. Step 6: Final answer
    x = 164,660,324.43

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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.