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Finding the Third Proportional to 563,614,491 and 1,143,076,542

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Solution

The third proportional to 563,614,491 and 1,143,076,542 is: 2,318,293,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,614,491 : 1,143,076,542 = 1,143,076,542 : x
  2. Step 2: Convert to fraction form
    563,614,491/1,143,076,542 = 1,143,076,542/x
  3. Step 3: Cross multiply
    563,614,491x = 1,143,076,542 × 1,143,076,542
  4. Step 4: Simplify right side
    563,614,491x = 1,306,623,980,870,677,760
  5. Step 5: Solve for x
    x = 1,306,623,980,870,677,760/563,614,491
  6. Step 6: Final answer
    x = 2,318,293,801.41

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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.