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Finding the Third Proportional to 1,975,782,823 and 4,295,926,292

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Solution

The third proportional to 1,975,782,823 and 4,295,926,292 is: 9,340,592,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,782,823 : 4,295,926,292 = 4,295,926,292 : x
  2. Step 2: Convert to fraction form
    1,975,782,823/4,295,926,292 = 4,295,926,292/x
  3. Step 3: Cross multiply
    1,975,782,823x = 4,295,926,292 × 4,295,926,292
  4. Step 4: Simplify right side
    1,975,782,823x = 18,454,982,706,296,868,864
  5. Step 5: Solve for x
    x = 18,454,982,706,296,868,864/1,975,782,823
  6. Step 6: Final answer
    x = 9,340,592,747.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.