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Finding the Third Proportional to 38,038,676 and 74,171,368

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Solution

The third proportional to 38,038,676 and 74,171,368 is: 144,626,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038,676 : 74,171,368 = 74,171,368 : x
  2. Step 2: Convert to fraction form
    38,038,676/74,171,368 = 74,171,368/x
  3. Step 3: Cross multiply
    38,038,676x = 74,171,368 × 74,171,368
  4. Step 4: Simplify right side
    38,038,676x = 5,501,391,830,991,424
  5. Step 5: Solve for x
    x = 5,501,391,830,991,424/38,038,676
  6. Step 6: Final answer
    x = 144,626,270.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.