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Finding the Third Proportional to 454,266,376 and 986,061,380

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Solution

The third proportional to 454,266,376 and 986,061,380 is: 2,140,411,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,266,376 : 986,061,380 = 986,061,380 : x
  2. Step 2: Convert to fraction form
    454,266,376/986,061,380 = 986,061,380/x
  3. Step 3: Cross multiply
    454,266,376x = 986,061,380 × 986,061,380
  4. Step 4: Simplify right side
    454,266,376x = 972,317,045,127,504,384
  5. Step 5: Solve for x
    x = 972,317,045,127,504,384/454,266,376
  6. Step 6: Final answer
    x = 2,140,411,653.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.