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Finding the Third Proportional to 6,298,169,754 and 13,531,004,908

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Solution

The third proportional to 6,298,169,754 and 13,531,004,908 is: 29,070,047,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,169,754 : 13,531,004,908 = 13,531,004,908 : x
  2. Step 2: Convert to fraction form
    6,298,169,754/13,531,004,908 = 13,531,004,908/x
  3. Step 3: Cross multiply
    6,298,169,754x = 13,531,004,908 × 13,531,004,908
  4. Step 4: Simplify right side
    6,298,169,754x = 183,088,093,820,320,088,064
  5. Step 5: Solve for x
    x = 183,088,093,820,320,088,064/6,298,169,754
  6. Step 6: Final answer
    x = 29,070,047,485.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.