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Finding the Third Proportional to 563,614,494 and 1,143,076,548

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Solution

The third proportional to 563,614,494 and 1,143,076,548 is: 2,318,293,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,614,494 : 1,143,076,548 = 1,143,076,548 : x
  2. Step 2: Convert to fraction form
    563,614,494/1,143,076,548 = 1,143,076,548/x
  3. Step 3: Cross multiply
    563,614,494x = 1,143,076,548 × 1,143,076,548
  4. Step 4: Simplify right side
    563,614,494x = 1,306,623,994,587,596,288
  5. Step 5: Solve for x
    x = 1,306,623,994,587,596,288/563,614,494
  6. Step 6: Final answer
    x = 2,318,293,813.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.