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Finding the Third Proportional to 29,345,496 and 69,048,708

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Solution

The third proportional to 29,345,496 and 69,048,708 is: 162,468,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,345,496 : 69,048,708 = 69,048,708 : x
  2. Step 2: Convert to fraction form
    29,345,496/69,048,708 = 69,048,708/x
  3. Step 3: Cross multiply
    29,345,496x = 69,048,708 × 69,048,708
  4. Step 4: Simplify right side
    29,345,496x = 4,767,724,076,469,264
  5. Step 5: Solve for x
    x = 4,767,724,076,469,264/29,345,496
  6. Step 6: Final answer
    x = 162,468,682.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.