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Finding the Third Proportional to 1,006,994,812 and 1,555,212,012

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Solution

The third proportional to 1,006,994,812 and 1,555,212,012 is: 2,401,883,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,994,812 : 1,555,212,012 = 1,555,212,012 : x
  2. Step 2: Convert to fraction form
    1,006,994,812/1,555,212,012 = 1,555,212,012/x
  3. Step 3: Cross multiply
    1,006,994,812x = 1,555,212,012 × 1,555,212,012
  4. Step 4: Simplify right side
    1,006,994,812x = 2,418,684,402,269,088,256
  5. Step 5: Solve for x
    x = 2,418,684,402,269,088,256/1,006,994,812
  6. Step 6: Final answer
    x = 2,401,883,677.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.