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Finding the Third Proportional to 35,584,960 and 77,695,926

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Solution

The third proportional to 35,584,960 and 77,695,926 is: 169,640,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584,960 : 77,695,926 = 77,695,926 : x
  2. Step 2: Convert to fraction form
    35,584,960/77,695,926 = 77,695,926/x
  3. Step 3: Cross multiply
    35,584,960x = 77,695,926 × 77,695,926
  4. Step 4: Simplify right side
    35,584,960x = 6,036,656,916,997,476
  5. Step 5: Solve for x
    x = 6,036,656,916,997,476/35,584,960
  6. Step 6: Final answer
    x = 169,640,682.95

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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.