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Finding the Third Proportional to 34,563,926 and 75,637,420

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Solution

The third proportional to 34,563,926 and 75,637,420 is: 165,519,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563,926 : 75,637,420 = 75,637,420 : x
  2. Step 2: Convert to fraction form
    34,563,926/75,637,420 = 75,637,420/x
  3. Step 3: Cross multiply
    34,563,926x = 75,637,420 × 75,637,420
  4. Step 4: Simplify right side
    34,563,926x = 5,721,019,304,256,400
  5. Step 5: Solve for x
    x = 5,721,019,304,256,400/34,563,926
  6. Step 6: Final answer
    x = 165,519,950.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.