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Finding the Third Proportional to 2,074,158,069 and 4,562,031,264

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Solution

The third proportional to 2,074,158,069 and 4,562,031,264 is: 10,034,013,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,158,069 : 4,562,031,264 = 4,562,031,264 : x
  2. Step 2: Convert to fraction form
    2,074,158,069/4,562,031,264 = 4,562,031,264/x
  3. Step 3: Cross multiply
    2,074,158,069x = 4,562,031,264 × 4,562,031,264
  4. Step 4: Simplify right side
    2,074,158,069x = 20,812,129,253,713,436,672
  5. Step 5: Solve for x
    x = 20,812,129,253,713,436,672/2,074,158,069
  6. Step 6: Final answer
    x = 10,034,013,108.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.