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Finding the Third Proportional to 1,423,021,200 and 3,083,570,688

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Solution

The third proportional to 1,423,021,200 and 3,083,570,688 is: 6,681,845,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,021,200 : 3,083,570,688 = 3,083,570,688 : x
  2. Step 2: Convert to fraction form
    1,423,021,200/3,083,570,688 = 3,083,570,688/x
  3. Step 3: Cross multiply
    1,423,021,200x = 3,083,570,688 × 3,083,570,688
  4. Step 4: Simplify right side
    1,423,021,200x = 9,508,408,187,892,793,344
  5. Step 5: Solve for x
    x = 9,508,408,187,892,793,344/1,423,021,200
  6. Step 6: Final answer
    x = 6,681,845,771.44

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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.