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Finding the Third Proportional to 4,243,586,756 and 8,926,937,252

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Solution

The third proportional to 4,243,586,756 and 8,926,937,252 is: 18,778,974,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243,586,756 : 8,926,937,252 = 8,926,937,252 : x
  2. Step 2: Convert to fraction form
    4,243,586,756/8,926,937,252 = 8,926,937,252/x
  3. Step 3: Cross multiply
    4,243,586,756x = 8,926,937,252 × 8,926,937,252
  4. Step 4: Simplify right side
    4,243,586,756x = 79,690,208,701,145,317,376
  5. Step 5: Solve for x
    x = 79,690,208,701,145,317,376/4,243,586,756
  6. Step 6: Final answer
    x = 18,778,974,787.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.