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Finding the Third Proportional to 4,243,586,757 and 8,926,937,247

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Solution

The third proportional to 4,243,586,757 and 8,926,937,247 is: 18,778,974,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243,586,757 : 8,926,937,247 = 8,926,937,247 : x
  2. Step 2: Convert to fraction form
    4,243,586,757/8,926,937,247 = 8,926,937,247/x
  3. Step 3: Cross multiply
    4,243,586,757x = 8,926,937,247 × 8,926,937,247
  4. Step 4: Simplify right side
    4,243,586,757x = 79,690,208,611,875,946,496
  5. Step 5: Solve for x
    x = 79,690,208,611,875,946,496/4,243,586,757
  6. Step 6: Final answer
    x = 18,778,974,762.43

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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.