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Finding the Third Proportional to 266,076,275.63 and 568,924,040.25

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Solution

The third proportional to 266,076,275.63 and 568,924,040.25 is: 1,216,472,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,076,275.63 : 568,924,040.25 = 568,924,040.25 : x
  2. Step 2: Convert to fraction form
    266,076,275.63/568,924,040.25 = 568,924,040.25/x
  3. Step 3: Cross multiply
    266,076,275.63x = 568,924,040.25 × 568,924,040.25
  4. Step 4: Simplify right side
    266,076,275.63x = 323,674,563,574,383,616
  5. Step 5: Solve for x
    x = 323,674,563,574,383,616/266,076,275.63
  6. Step 6: Final answer
    x = 1,216,472,843.41

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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.