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Finding the Third Proportional to 29,428,723 and 68,736,905

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Solution

The third proportional to 29,428,723 and 68,736,905 is: 160,549,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428,723 : 68,736,905 = 68,736,905 : x
  2. Step 2: Convert to fraction form
    29,428,723/68,736,905 = 68,736,905/x
  3. Step 3: Cross multiply
    29,428,723x = 68,736,905 × 68,736,905
  4. Step 4: Simplify right side
    29,428,723x = 4,724,762,108,979,025
  5. Step 5: Solve for x
    x = 4,724,762,108,979,025/29,428,723
  6. Step 6: Final answer
    x = 160,549,341.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.