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Finding the Third Proportional to 377,166,769 and 563,427,376

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Solution

The third proportional to 377,166,769 and 563,427,376 is: 841,671,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,166,769 : 563,427,376 = 563,427,376 : x
  2. Step 2: Convert to fraction form
    377,166,769/563,427,376 = 563,427,376/x
  3. Step 3: Cross multiply
    377,166,769x = 563,427,376 × 563,427,376
  4. Step 4: Simplify right side
    377,166,769x = 317,450,408,026,245,376
  5. Step 5: Solve for x
    x = 317,450,408,026,245,376/377,166,769
  6. Step 6: Final answer
    x = 841,671,202.55

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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.