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Finding the Third Proportional to 65,990,722 and 99,835,432

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Solution

The third proportional to 65,990,722 and 99,835,432 is: 151,038,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990,722 : 99,835,432 = 99,835,432 : x
  2. Step 2: Convert to fraction form
    65,990,722/99,835,432 = 99,835,432/x
  3. Step 3: Cross multiply
    65,990,722x = 99,835,432 × 99,835,432
  4. Step 4: Simplify right side
    65,990,722x = 9,967,113,482,626,624
  5. Step 5: Solve for x
    x = 9,967,113,482,626,624/65,990,722
  6. Step 6: Final answer
    x = 151,038,103.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.