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Finding the Third Proportional to 3,066,572,357 and 6,670,439,823

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Solution

The third proportional to 3,066,572,357 and 6,670,439,823 is: 14,509,609,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,572,357 : 6,670,439,823 = 6,670,439,823 : x
  2. Step 2: Convert to fraction form
    3,066,572,357/6,670,439,823 = 6,670,439,823/x
  3. Step 3: Cross multiply
    3,066,572,357x = 6,670,439,823 × 6,670,439,823
  4. Step 4: Simplify right side
    3,066,572,357x = 44,494,767,432,264,269,824
  5. Step 5: Solve for x
    x = 44,494,767,432,264,269,824/3,066,572,357
  6. Step 6: Final answer
    x = 14,509,609,509.36

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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.