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Finding the Third Proportional to 1,609,969,894 and 2,416,658,878

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Solution

The third proportional to 1,609,969,894 and 2,416,658,878 is: 3,627,546,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,969,894 : 2,416,658,878 = 2,416,658,878 : x
  2. Step 2: Convert to fraction form
    1,609,969,894/2,416,658,878 = 2,416,658,878/x
  3. Step 3: Cross multiply
    1,609,969,894x = 2,416,658,878 × 2,416,658,878
  4. Step 4: Simplify right side
    1,609,969,894x = 5,840,240,132,616,218,624
  5. Step 5: Solve for x
    x = 5,840,240,132,616,218,624/1,609,969,894
  6. Step 6: Final answer
    x = 3,627,546,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.