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Finding the Third Proportional to 4,302,063,919 and 9,257,899,823

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Solution

The third proportional to 4,302,063,919 and 9,257,899,823 is: 19,922,695,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302,063,919 : 9,257,899,823 = 9,257,899,823 : x
  2. Step 2: Convert to fraction form
    4,302,063,919/9,257,899,823 = 9,257,899,823/x
  3. Step 3: Cross multiply
    4,302,063,919x = 9,257,899,823 × 9,257,899,823
  4. Step 4: Simplify right side
    4,302,063,919x = 85,708,709,132,703,432,704
  5. Step 5: Solve for x
    x = 85,708,709,132,703,432,704/4,302,063,919
  6. Step 6: Final answer
    x = 19,922,695,419.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.