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Finding the Third Proportional to 29,803,782 and 65,186,796

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Solution

The third proportional to 29,803,782 and 65,186,796 is: 142,576,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803,782 : 65,186,796 = 65,186,796 : x
  2. Step 2: Convert to fraction form
    29,803,782/65,186,796 = 65,186,796/x
  3. Step 3: Cross multiply
    29,803,782x = 65,186,796 × 65,186,796
  4. Step 4: Simplify right side
    29,803,782x = 4,249,318,372,745,616
  5. Step 5: Solve for x
    x = 4,249,318,372,745,616/29,803,782
  6. Step 6: Final answer
    x = 142,576,481.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.