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Finding the Third Proportional to 67,144,038 and 106,769,388

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Solution

The third proportional to 67,144,038 and 106,769,388 is: 169,779,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144,038 : 106,769,388 = 106,769,388 : x
  2. Step 2: Convert to fraction form
    67,144,038/106,769,388 = 106,769,388/x
  3. Step 3: Cross multiply
    67,144,038x = 106,769,388 × 106,769,388
  4. Step 4: Simplify right side
    67,144,038x = 11,399,702,213,894,544
  5. Step 5: Solve for x
    x = 11,399,702,213,894,544/67,144,038
  6. Step 6: Final answer
    x = 169,779,812.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.