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Finding the Third Proportional to 1,649,229,120 and 3,534,540,408

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Solution

The third proportional to 1,649,229,120 and 3,534,540,408 is: 7,575,039,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,229,120 : 3,534,540,408 = 3,534,540,408 : x
  2. Step 2: Convert to fraction form
    1,649,229,120/3,534,540,408 = 3,534,540,408/x
  3. Step 3: Cross multiply
    1,649,229,120x = 3,534,540,408 × 3,534,540,408
  4. Step 4: Simplify right side
    1,649,229,120x = 12,492,975,895,784,806,400
  5. Step 5: Solve for x
    x = 12,492,975,895,784,806,400/1,649,229,120
  6. Step 6: Final answer
    x = 7,575,039,601.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.