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Finding the Third Proportional to 634,757,978.25 and 980,436,018.38

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Solution

The third proportional to 634,757,978.25 and 980,436,018.38 is: 1,514,364,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,757,978.25 : 980,436,018.38 = 980,436,018.38 : x
  2. Step 2: Convert to fraction form
    634,757,978.25/980,436,018.38 = 980,436,018.38/x
  3. Step 3: Cross multiply
    634,757,978.25x = 980,436,018.38 × 980,436,018.38
  4. Step 4: Simplify right side
    634,757,978.25x = 961,254,786,127,023,360
  5. Step 5: Solve for x
    x = 961,254,786,127,023,360/634,757,978.25
  6. Step 6: Final answer
    x = 1,514,364,244.43

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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.