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Finding the Third Proportional to 35,986,827 and 77,707,860

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Solution

The third proportional to 35,986,827 and 77,707,860 is: 167,797,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,827 : 77,707,860 = 77,707,860 : x
  2. Step 2: Convert to fraction form
    35,986,827/77,707,860 = 77,707,860/x
  3. Step 3: Cross multiply
    35,986,827x = 77,707,860 × 77,707,860
  4. Step 4: Simplify right side
    35,986,827x = 6,038,511,505,779,600
  5. Step 5: Solve for x
    x = 6,038,511,505,779,600/35,986,827
  6. Step 6: Final answer
    x = 167,797,830.74

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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.