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Finding the Third Proportional to 2,697,797,259 and 4,046,695,615.13

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Solution

The third proportional to 2,697,797,259 and 4,046,695,615.13 is: 6,070,043,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,797,259 : 4,046,695,615.13 = 4,046,695,615.13 : x
  2. Step 2: Convert to fraction form
    2,697,797,259/4,046,695,615.13 = 4,046,695,615.13/x
  3. Step 3: Cross multiply
    2,697,797,259x = 4,046,695,615.13 × 4,046,695,615.13
  4. Step 4: Simplify right side
    2,697,797,259x = 16,375,745,401,471,901,696
  5. Step 5: Solve for x
    x = 16,375,745,401,471,901,696/2,697,797,259
  6. Step 6: Final answer
    x = 6,070,043,012.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.