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Finding the Third Proportional to 7,699,358,158 and 16,503,729,638

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Solution

The third proportional to 7,699,358,158 and 16,503,729,638 is: 35,376,077,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699,358,158 : 16,503,729,638 = 16,503,729,638 : x
  2. Step 2: Convert to fraction form
    7,699,358,158/16,503,729,638 = 16,503,729,638/x
  3. Step 3: Cross multiply
    7,699,358,158x = 16,503,729,638 × 16,503,729,638
  4. Step 4: Simplify right side
    7,699,358,158x = 272,373,091,964,199,600,128
  5. Step 5: Solve for x
    x = 272,373,091,964,199,600,128/7,699,358,158
  6. Step 6: Final answer
    x = 35,376,077,638.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.