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Finding the Third Proportional to 2,923,136 and 6,377,461

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Solution

The third proportional to 2,923,136 and 6,377,461 is: 13,913,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,136 : 6,377,461 = 6,377,461 : x
  2. Step 2: Convert to fraction form
    2,923,136/6,377,461 = 6,377,461/x
  3. Step 3: Cross multiply
    2,923,136x = 6,377,461 × 6,377,461
  4. Step 4: Simplify right side
    2,923,136x = 40,672,008,806,521
  5. Step 5: Solve for x
    x = 40,672,008,806,521/2,923,136
  6. Step 6: Final answer
    x = 13,913,827.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.