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Finding the Third Proportional to 30,715,965 and 66,358,026

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Solution

The third proportional to 30,715,965 and 66,358,026 is: 143,358,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715,965 : 66,358,026 = 66,358,026 : x
  2. Step 2: Convert to fraction form
    30,715,965/66,358,026 = 66,358,026/x
  3. Step 3: Cross multiply
    30,715,965x = 66,358,026 × 66,358,026
  4. Step 4: Simplify right side
    30,715,965x = 4,403,387,614,616,676
  5. Step 5: Solve for x
    x = 4,403,387,614,616,676/30,715,965
  6. Step 6: Final answer
    x = 143,358,270.35

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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.