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Finding the Third Proportional to 2,649,514,756.50 and 5,780,278,566

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Solution

The third proportional to 2,649,514,756.50 and 5,780,278,566 is: 12,610,467,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,514,756.50 : 5,780,278,566 = 5,780,278,566 : x
  2. Step 2: Convert to fraction form
    2,649,514,756.50/5,780,278,566 = 5,780,278,566/x
  3. Step 3: Cross multiply
    2,649,514,756.50x = 5,780,278,566 × 5,780,278,566
  4. Step 4: Simplify right side
    2,649,514,756.50x = 33,411,620,300,559,015,936
  5. Step 5: Solve for x
    x = 33,411,620,300,559,015,936/2,649,514,756.50
  6. Step 6: Final answer
    x = 12,610,467,716.25

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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.