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Finding the Third Proportional to 34,769,304 and 75,592,062

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Solution

The third proportional to 34,769,304 and 75,592,062 is: 164,344,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769,304 : 75,592,062 = 75,592,062 : x
  2. Step 2: Convert to fraction form
    34,769,304/75,592,062 = 75,592,062/x
  3. Step 3: Cross multiply
    34,769,304x = 75,592,062 × 75,592,062
  4. Step 4: Simplify right side
    34,769,304x = 5,714,159,837,411,844
  5. Step 5: Solve for x
    x = 5,714,159,837,411,844/34,769,304
  6. Step 6: Final answer
    x = 164,344,958.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.