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Finding the Third Proportional to 9,684,789,102,775.20 and 21,343,646,667,994

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Solution

The third proportional to 9,684,789,102,775.20 and 21,343,646,667,994 is: 47,037,808,284,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684,789,102,775.20 : 21,343,646,667,994 = 21,343,646,667,994 : x
  2. Step 2: Convert to fraction form
    9,684,789,102,775.20/21,343,646,667,994 = 21,343,646,667,994/x
  3. Step 3: Cross multiply
    9,684,789,102,775.20x = 21,343,646,667,994 × 21,343,646,667,994
  4. Step 4: Simplify right side
    9,684,789,102,775.20x = 455,551,253,088,171,384,706,695,168
  5. Step 5: Solve for x
    x = 455,551,253,088,171,384,706,695,168/9,684,789,102,775.20
  6. Step 6: Final answer
    x = 47,037,808,284,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.