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Finding the Third Proportional to 30,684,966 and 65,153,928

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Solution

The third proportional to 30,684,966 and 65,153,928 is: 138,342,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684,966 : 65,153,928 = 65,153,928 : x
  2. Step 2: Convert to fraction form
    30,684,966/65,153,928 = 65,153,928/x
  3. Step 3: Cross multiply
    30,684,966x = 65,153,928 × 65,153,928
  4. Step 4: Simplify right side
    30,684,966x = 4,245,034,333,829,184
  5. Step 5: Solve for x
    x = 4,245,034,333,829,184/30,684,966
  6. Step 6: Final answer
    x = 138,342,481.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.