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Finding the Third Proportional to 634,757,991.75 and 980,436,039.75

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Solution

The third proportional to 634,757,991.75 and 980,436,039.75 is: 1,514,364,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,757,991.75 : 980,436,039.75 = 980,436,039.75 : x
  2. Step 2: Convert to fraction form
    634,757,991.75/980,436,039.75 = 980,436,039.75/x
  3. Step 3: Cross multiply
    634,757,991.75x = 980,436,039.75 × 980,436,039.75
  4. Step 4: Simplify right side
    634,757,991.75x = 961,254,828,040,663,552
  5. Step 5: Solve for x
    x = 961,254,828,040,663,552/634,757,991.75
  6. Step 6: Final answer
    x = 1,514,364,278.25

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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.