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Finding the Third Proportional to 377,166,854 and 563,427,491

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Solution

The third proportional to 377,166,854 and 563,427,491 is: 841,671,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,166,854 : 563,427,491 = 563,427,491 : x
  2. Step 2: Convert to fraction form
    377,166,854/563,427,491 = 563,427,491/x
  3. Step 3: Cross multiply
    377,166,854x = 563,427,491 × 563,427,491
  4. Step 4: Simplify right side
    377,166,854x = 317,450,537,614,555,072
  5. Step 5: Solve for x
    x = 317,450,537,614,555,072/377,166,854
  6. Step 6: Final answer
    x = 841,671,356.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.