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Finding the Third Proportional to 30,291,564 and 65,202,072

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Solution

The third proportional to 30,291,564 and 65,202,072 is: 140,346,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,564 : 65,202,072 = 65,202,072 : x
  2. Step 2: Convert to fraction form
    30,291,564/65,202,072 = 65,202,072/x
  3. Step 3: Cross multiply
    30,291,564x = 65,202,072 × 65,202,072
  4. Step 4: Simplify right side
    30,291,564x = 4,251,310,193,093,184
  5. Step 5: Solve for x
    x = 4,251,310,193,093,184/30,291,564
  6. Step 6: Final answer
    x = 140,346,341.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.