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Finding the Third Proportional to 65,623,932 and 143,619,432

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Solution

The third proportional to 65,623,932 and 143,619,432 is: 314,314,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,623,932 : 143,619,432 = 143,619,432 : x
  2. Step 2: Convert to fraction form
    65,623,932/143,619,432 = 143,619,432/x
  3. Step 3: Cross multiply
    65,623,932x = 143,619,432 × 143,619,432
  4. Step 4: Simplify right side
    65,623,932x = 20,626,541,248,002,624
  5. Step 5: Solve for x
    x = 20,626,541,248,002,624/65,623,932
  6. Step 6: Final answer
    x = 314,314,315.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.