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Finding the Third Proportional to 29,509,396,500 and 63,730,437,288

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Solution

The third proportional to 29,509,396,500 and 63,730,437,288 is: 137,636,452,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509,396,500 : 63,730,437,288 = 63,730,437,288 : x
  2. Step 2: Convert to fraction form
    29,509,396,500/63,730,437,288 = 63,730,437,288/x
  3. Step 3: Cross multiply
    29,509,396,500x = 63,730,437,288 × 63,730,437,288
  4. Step 4: Simplify right side
    29,509,396,500x = 4,061,568,636,919,701,045,248
  5. Step 5: Solve for x
    x = 4,061,568,636,919,701,045,248/29,509,396,500
  6. Step 6: Final answer
    x = 137,636,452,067.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.