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Finding the Third Proportional to 266,076,271 and 568,924,029

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Solution

The third proportional to 266,076,271 and 568,924,029 is: 1,216,472,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,076,271 : 568,924,029 = 568,924,029 : x
  2. Step 2: Convert to fraction form
    266,076,271/568,924,029 = 568,924,029/x
  3. Step 3: Cross multiply
    266,076,271x = 568,924,029 × 568,924,029
  4. Step 4: Simplify right side
    266,076,271x = 323,674,550,773,592,832
  5. Step 5: Solve for x
    x = 323,674,550,773,592,832/266,076,271
  6. Step 6: Final answer
    x = 1,216,472,816.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.