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Finding the Third Proportional to 3,117,646,647 and 6,784,124,832

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Solution

The third proportional to 3,117,646,647 and 6,784,124,832 is: 14,762,529,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,646,647 : 6,784,124,832 = 6,784,124,832 : x
  2. Step 2: Convert to fraction form
    3,117,646,647/6,784,124,832 = 6,784,124,832/x
  3. Step 3: Cross multiply
    3,117,646,647x = 6,784,124,832 × 6,784,124,832
  4. Step 4: Simplify right side
    3,117,646,647x = 46,024,349,736,159,027,200
  5. Step 5: Solve for x
    x = 46,024,349,736,159,027,200/3,117,646,647
  6. Step 6: Final answer
    x = 14,762,529,223.91

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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.