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Finding the Third Proportional to 36,097,872 and 77,950,146

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Solution

The third proportional to 36,097,872 and 77,950,146 is: 168,326,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097,872 : 77,950,146 = 77,950,146 : x
  2. Step 2: Convert to fraction form
    36,097,872/77,950,146 = 77,950,146/x
  3. Step 3: Cross multiply
    36,097,872x = 77,950,146 × 77,950,146
  4. Step 4: Simplify right side
    36,097,872x = 6,076,225,261,421,316
  5. Step 5: Solve for x
    x = 6,076,225,261,421,316/36,097,872
  6. Step 6: Final answer
    x = 168,326,411.64

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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.