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Finding the Third Proportional to 266,816,475 and 578,169,504

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Solution

The third proportional to 266,816,475 and 578,169,504 is: 1,252,846,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,816,475 : 578,169,504 = 578,169,504 : x
  2. Step 2: Convert to fraction form
    266,816,475/578,169,504 = 578,169,504/x
  3. Step 3: Cross multiply
    266,816,475x = 578,169,504 × 578,169,504
  4. Step 4: Simplify right side
    266,816,475x = 334,279,975,355,606,016
  5. Step 5: Solve for x
    x = 334,279,975,355,606,016/266,816,475
  6. Step 6: Final answer
    x = 1,252,846,082.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.