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Finding the Third Proportional to 2,656,025,934.75 and 5,679,798,662.25

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Solution

The third proportional to 2,656,025,934.75 and 5,679,798,662.25 is: 12,146,008,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,025,934.75 : 5,679,798,662.25 = 5,679,798,662.25 : x
  2. Step 2: Convert to fraction form
    2,656,025,934.75/5,679,798,662.25 = 5,679,798,662.25/x
  3. Step 3: Cross multiply
    2,656,025,934.75x = 5,679,798,662.25 × 5,679,798,662.25
  4. Step 4: Simplify right side
    2,656,025,934.75x = 32,260,112,843,696,889,856
  5. Step 5: Solve for x
    x = 32,260,112,843,696,889,856/2,656,025,934.75
  6. Step 6: Final answer
    x = 12,146,008,222.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.