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Finding the Third Proportional to 32,029,842 and 75,578,646

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Solution

The third proportional to 32,029,842 and 75,578,646 is: 178,337,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029,842 : 75,578,646 = 75,578,646 : x
  2. Step 2: Convert to fraction form
    32,029,842/75,578,646 = 75,578,646/x
  3. Step 3: Cross multiply
    32,029,842x = 75,578,646 × 75,578,646
  4. Step 4: Simplify right side
    32,029,842x = 5,712,131,731,193,316
  5. Step 5: Solve for x
    x = 5,712,131,731,193,316/32,029,842
  6. Step 6: Final answer
    x = 178,337,805.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.