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Finding the Third Proportional to 6,717,979,709 and 14,553,828,954

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Solution

The third proportional to 6,717,979,709 and 14,553,828,954 is: 31,529,410,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717,979,709 : 14,553,828,954 = 14,553,828,954 : x
  2. Step 2: Convert to fraction form
    6,717,979,709/14,553,828,954 = 14,553,828,954/x
  3. Step 3: Cross multiply
    6,717,979,709x = 14,553,828,954 × 14,553,828,954
  4. Step 4: Simplify right side
    6,717,979,709x = 211,813,937,222,288,736,256
  5. Step 5: Solve for x
    x = 211,813,937,222,288,736,256/6,717,979,709
  6. Step 6: Final answer
    x = 31,529,410,090.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.