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Finding the Third Proportional to 666,603,126 and 1,450,555,343

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Solution

The third proportional to 666,603,126 and 1,450,555,343 is: 3,156,467,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,603,126 : 1,450,555,343 = 1,450,555,343 : x
  2. Step 2: Convert to fraction form
    666,603,126/1,450,555,343 = 1,450,555,343/x
  3. Step 3: Cross multiply
    666,603,126x = 1,450,555,343 × 1,450,555,343
  4. Step 4: Simplify right side
    666,603,126x = 2,104,110,803,105,847,552
  5. Step 5: Solve for x
    x = 2,104,110,803,105,847,552/666,603,126
  6. Step 6: Final answer
    x = 3,156,467,050.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.