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Finding the Third Proportional to 357,448,632 and 771,354,916

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Solution

The third proportional to 357,448,632 and 771,354,916 is: 1,664,542,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,448,632 : 771,354,916 = 771,354,916 : x
  2. Step 2: Convert to fraction form
    357,448,632/771,354,916 = 771,354,916/x
  3. Step 3: Cross multiply
    357,448,632x = 771,354,916 × 771,354,916
  4. Step 4: Simplify right side
    357,448,632x = 594,988,406,437,367,040
  5. Step 5: Solve for x
    x = 594,988,406,437,367,040/357,448,632
  6. Step 6: Final answer
    x = 1,664,542,407.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.