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Finding the Third Proportional to 693,351,516,384 and 1,406,198,500,920

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Solution

The third proportional to 693,351,516,384 and 1,406,198,500,920 is: 2,851,936,106,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,351,516,384 : 1,406,198,500,920 = 1,406,198,500,920 : x
  2. Step 2: Convert to fraction form
    693,351,516,384/1,406,198,500,920 = 1,406,198,500,920/x
  3. Step 3: Cross multiply
    693,351,516,384x = 1,406,198,500,920 × 1,406,198,500,920
  4. Step 4: Simplify right side
    693,351,516,384x = 1,977,394,223,989,655,315,939,328
  5. Step 5: Solve for x
    x = 1,977,394,223,989,655,315,939,328/693,351,516,384
  6. Step 6: Final answer
    x = 2,851,936,106,381.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.