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Finding the Third Proportional to 29,859,840 and 65,505,024

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Solution

The third proportional to 29,859,840 and 65,505,024 is: 143,701,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859,840 : 65,505,024 = 65,505,024 : x
  2. Step 2: Convert to fraction form
    29,859,840/65,505,024 = 65,505,024/x
  3. Step 3: Cross multiply
    29,859,840x = 65,505,024 × 65,505,024
  4. Step 4: Simplify right side
    29,859,840x = 4,290,908,169,240,576
  5. Step 5: Solve for x
    x = 4,290,908,169,240,576/29,859,840
  6. Step 6: Final answer
    x = 143,701,646.40

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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.