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Finding the Third Proportional to 7,971,386,139 and 17,125,751,639

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Solution

The third proportional to 7,971,386,139 and 17,125,751,639 is: 36,793,019,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971,386,139 : 17,125,751,639 = 17,125,751,639 : x
  2. Step 2: Convert to fraction form
    7,971,386,139/17,125,751,639 = 17,125,751,639/x
  3. Step 3: Cross multiply
    7,971,386,139x = 17,125,751,639 × 17,125,751,639
  4. Step 4: Simplify right side
    7,971,386,139x = 293,291,369,200,711,172,096
  5. Step 5: Solve for x
    x = 293,291,369,200,711,172,096/7,971,386,139
  6. Step 6: Final answer
    x = 36,793,019,944.90

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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.